Maths Questions
The area (in square units) bounded by the curves , x-axis and lying in the first quadrant is
The area (in square units) bounded by the curves 
, x-axis and lying in the first quadrant is
The area under the curve with boundaries as X-axis and the ordinates x = 0, x = 3 in sq. units is
The area under the curve 
with boundaries as X-axis and the ordinates x = 0, x = 3 in sq. units is
The area bounded by the curves y=cosx and y=sin x between the ordinates x=0 and
The area bounded by the curves y=cosx and y=sin x between the ordinates x=0 and
The area bounded by the curves and is
The area bounded by the curves 
and 
is
The area bounded between the parabolas and , and the straight line y = 2 is
The area bounded between the parabolas 
and 
, and the straight line y = 2 is
The area (in square units) of the region bounded by is
The area (in square units) of the region bounded by
is
The area enclosed between the curve and the co-ordiante axes is
The area enclosed between the curve 
and the co-ordiante axes is
The area bounded by and is
The area bounded by 
and 
is
The area bounded by , axis of abscissa and two ordinates corresponding to two points of minima of the function y = f(x) is
The area bounded by 
, axis of abscissa and two ordinates corresponding to two points of minima of the function y = f(x) is
Area of the region bounded by y = |x| and y=2 in sq. units is
Area of the region bounded by y = |x| and y=2 in sq. units is
Area of the region bounded by y = |x| and y = 1 - |x| in sq. units is
Area of the region bounded by y = |x| and y = 1 - |x| in sq. units is
Area bounded by the curve y = x + sinx and its inverse function between the ordinates x = 0 and in sq. units is
Area bounded by the curve y = x + sinx and its inverse function between the ordinates x = 0 and 
in sq. units is
A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is
A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is
If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is
If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is
The coefficient of in the expansion of is?
The coefficient of 
in the expansion of 
is?
A man saves ` 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ` 40 more than the saving of immediately previous month. His total saving from the start of service will be ` 11040 after
A man saves ` 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ` 40 more than the saving of immediately previous month. His total saving from the start of service will be ` 11040 after
If the mean deviation about the median of the numbers a, 2a, ......., 50a is 50, then |a| equals
If the mean deviation about the median of the numbers a, 2a, ......., 50a is 50, then |a| equals
Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval
Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval
If , then for all real x
If 
, then for all real x
If and are the roots of the equation
If 
and 
are the roots of the equation 
Consider the system of linear equations x1 + 2x2 + x3 = 3 2x1 + 3x2 + x3 = 3 3x1 + 5x2 + 2x3 = 1 The system has
Consider the system of linear equations
x1 + 2x2 + x3 = 3
2x1 + 3x2 + x3 = 3
3x1 + 5x2 + 2x3 = 1
The system has
Solution of the differential equation cosxdy = y(sinx – y)dx, 0 < x < p/2 is
Solution of the differential equation cosxdy = y(sinx – y)dx, 0 < x < p/2 is
The area bounded by the curves y = cosx and y = sinx between the ordinates x = 0 and x = 3π/2 is
The area bounded by the curves y = cosx and y = sinx between the ordinates x = 0 and x = 3π/2 is
The line L given by passes through the point (13, 32). The line K is parallel to L and has the equation .Then the distance between L and K is?
The line L given by 
passes through the point (13, 32). The line K is parallel to L and has the equation
.Then the distance between L and K is?
From 6 different novels and3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is
From 6 different novels and3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is
The remainder left out when is devided by 9 is
The remainder left out when 
is devided by 9 is
If the mean deviation of number1,1+d,1+2d,...., 1 + 100d from their mean is 255, then the d is equal
If the mean deviation of number1,1+d,1+2d,...., 1 + 100d from their mean is 255, then the d is equal
One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals
One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals
The sum to infinity of the series
The sum to infinity of the series
If the roots of the equation bx2 +cx+a=0 be imaginary, then for all real values of x. The expression
If the roots of the equation bx2 +cx+a=0 be imaginary, then for all real values of x. The expression
In a binomial distribution ,, if the probability of at least one success is greater than or equal to 9/10 , then n is greater than
In a binomial distribution ,
, if the probability of at least one success is greater than or equal to 9/10 , then n is greater than
There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is
There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is
For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is
For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is
A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is
A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is
If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is
If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is
The number of solution of tanx + secx = 2cosx in [0, 2p) is
The number of solution of tanx + secx = 2cosx in [0, 2p) is
The upper 3/4th portion of a vertical pole subtends an angle tan–1(3/5) at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
The upper 3/4th portion of a vertical pole subtends an angle tan–1(3/5) at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60o and when he retires 40 meters away from the tree the angle of elevation becomes 30o. The breadth of the river is
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60o and when he retires 40 meters away from the tree the angle of elevation becomes 30o. The breadth of the river is
Let such that if then value of
Let 
such that 
if 
then value of 
If then the difference between the maximum and minimum values of u2 is given by
If 
then the difference between the maximum and
minimum values of u2 is given by
The sides of a triangle are sina, cosa and and then the greatest angle of tringle is?
The sides of a triangle are sina, cosa and and 
then the greatest angle of tringle is?
If in a ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sinA, sinB, sinC are in
If in a ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sinA, sinB, sinC are in
In a triangle ABC, let If r is the inradius and R is the circumradius of the triangle ABC, then 2(r + R) equals
In a triangle ABC, let 
If r is the inradius and R is the circumradius of the triangle ABC, then 2(r + R) equals
if is equal to
if 
is equal to
The number of value of x in the interval [0, 3pai] satisfying the equation
The number of value of x in the interval [0, 3pai] satisfying the equation 
The real value of 'a' for which sum of square of the roots of the equation assume the least value is
The real value of 'a' for which sum of square of the roots of the equation
assume the least value is
Number greater than 1000 but less than 4000 is formed using the digits 0, 2, 3, 4 repetition allowed is
Number greater than 1000 but less than 4000 is formed using the digits 0, 2, 3, 4 repetition allowed is
Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
Total number of four digit odd numbers that can beformed using0,1,2,3,5,7 are
Total number of four digit odd numbers that can beformed using0,1,2,3,5,7 are
How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is
At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is?
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of
choices available to him is?
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
If a young man rides his motorcycle at 25 km/hour, he had to spend Rs. 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs. 5 per km. He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance , he can travel within one hour. Express this as an LPP and solve it graphically
If a young man rides his motorcycle at 25 km/hour, he had to spend Rs. 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs. 5 per km. He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance , he can travel within one hour. Express this as an LPP and solve it graphically
A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items. A fan and sewing machine cost Rs. 360 and Rs. 240 respectively. He can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell whatever he buys, how should he invest his money in order to maximize his profit? Trans late the problem into LPP and solve it graphically
A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items. A fan and sewing machine cost Rs. 360 and Rs. 240 respectively. He can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell whatever he buys, how should he invest his money in order to maximize his profit? Trans late the problem into LPP and solve it graphically
Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants
Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants
A company has two plants to manufacture motor cycles. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, Is found to be of standard quality. Find the probability that it has come out from the second plant?
A company has two plants to manufacture motor cycles. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, Is found to be of standard quality. Find the probability that it has come out from the second plant?
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?
In an experiment with 15 observations on x, the following results were available. One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is
In an experiment with 15 observations on x, the following results were available.
One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is
The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
Consider the following statements : (1) Mode can be computed from histogram (2) Median is not independent of change of scale (3) Variance is independent of change of origin and scale. Which of these is/are correct?
Consider the following statements :
(1) Mode can be computed from histogram
(2) Median is not independent of change of scale
(3) Variance is independent of change of origin and scale.
Which of these is/are correct?
In a series of 2n observations, half of them equal a and remaining half equal – a. If the standard deviation of the observations is 2, then |a| equals
In a series of 2n observations, half of them equal a and remaining half equal – a. If the standard deviation of the observations is 2, then |a| equals
In a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
In a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
Let x1, x2, ...., xn be n observations such that and .Then a possible value of n among the following is
Let x1, x2, ...., xn be n observations such that 
and 
.Then a possible value
of n among the following is
Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is
Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is
The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is ?
The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is ?
The mean of the numbers a ,b ,8 ,5 ,10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
The mean of the numbers a ,b ,8 ,5 ,10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is:
The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is:
If n arithmetic means are inserted between 20 and 80 such that the ratio of first mean to the last mean is 1:3, then find the value of n?
If n arithmetic means are inserted between 20 and 80 such that the ratio of first mean to the last mean is 1:3, then find the value of n?
If the fifth term of G.P is 81 and second term is 24.Find the common ratio.
If the fifth term of G.P is 81 and second term is 24.Find the common ratio.
At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with a average of 5 phone calls during 10minute time intervals. The probability that there is at the most one phone call during a 10minute time period is
At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with a average of 5 phone calls during 10minute time intervals. The probability that there is at the most one phone call during a 10minute time period is?
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is?
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is?
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is?
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is?
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is?
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is?
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is?
The real value of 'a' for which sum of square of the roots of the equation
The real value of 'a' for which sum of square of the roots of the equation
Three numbers are chosen at random without replacement from 1,2,3 ............10. The probability that minimum of chosen number is 4 and their maximum is 8.
Three numbers are chosen at random without replacement from 1,2,3 ............10. The probability that minimum of chosen number is 4 and their maximum is 8.
If three positive real numbers a, b, c are in A.P such that abc =4, then minimum value of b is?
If three positive real numbers a, b, c are in A.P such that abc =4, then minimum value of b is?
If three positive real numbers a, b, c are in A.P such that abc =4, then minimum value of b is?
If three positive real numbers a, b, c are in A.P such that abc =4, then minimum value of b is?
Three numbers are chosen at random without replacement from 1,2,3 ............10. The probability that minimum of chosen number is 4 and their maximum is 8.
Three numbers are chosen at random without replacement from 1,2,3 ............10. The probability that minimum of chosen number is 4 and their maximum is 8.
The real value of 'a' for which sum of square of the roots of the equation x^2 -(a-3)x-(a+1) =0 assume the least value is?
The real value of 'a' for which sum of square of the roots of the equation
Form a differential equation of family of all the circles having centres on -axis and radius unity?
Form a differential equation of family of all the circles having centres on -axis and radius unity?
A is one of 6 horses entered for a race and is to be ridden by one of two jokceys B and C.It is 2 to 1 that B rides A, in which case all the horses are equally likely to win .If C rides A, his chances of winning is trippled . what are the odds against winning of A?
A is one of 6 horses entered for a race and is to be ridden by one of two jokceys B and C.It is 2 to 1 that B rides A, in which case all the horses are equally likely to win .If C rides A, his chances of winning is trippled . what are the odds against winning of A?
Two circle with radii r1 and r2(r1> r2 >=2) touch each other externally. if theta be the angle between the direct common tangents, then theta is?
Two circle with radii r1 and r2(r1> r2 >=2) touch each other externally. if 
be the angle between the direct common tangents, then is?
The equation of the circle which has tangent 2x -y -1 =0 at (3,5) on it and with the centre on x+y =5, is?
The equation of the circle which has tangent 2x -y -1 =0 at (3,5) on it and with the centre on x+y =5, is?
If two circles, each of radius 5 unit, touch each other at (1,2) and equation of their common tangent is 4x + 3y =0 ,then equation of the circle a portion of which lies in the all the quadrants is?
If two circles, each of radius 5 unit, touch each other at (1,2) and equation of their common tangent is 4x + 3y =0 ,then equation of the circle a portion of which lies in the all the quadrants is?
The centre of a circle is (2, -3) and the circumference is 10 pie. The equation of circle is?
The centre of a circle is (2, -3) and the circumference is 10 pie. The equation of circle is?
The equation of the circle radius 5 in the first quadrant which touches x- axis and the line 4y = 3x is?
The equation of the circle radius 5 in the first quadrant which touches x- axis and the line 4y = 3x is?
The slope of the tangent at the point (h,h) on the circle x*x + y*y = a*a is?
The slope of the tangent at the point (h,h) on the circle
is?
The real value of 'a' for which sum of square of the roots of the equation x*x -(a-3)x -(a+1) =0 assume the least value is?
The real value of 'a' for which sum of square of the roots of the equation x*x -(a-3)x -(a+1) =0 assume the least value is?
A regular polygon of nine sides, each of length 2, is inscribed in a circle. The radius of the circle is?
A regular polygon of nine sides, each of length 2, is inscribed in a circle. The radius of the circle is?
Number of ways in which 7 girls & 7 boys can be arranged such that no two boys and no two girls are together is?
Number of ways in which 7 girls & 7 boys can be arranged such that no two boys and no two girls are together is?
Consider a parabola x2 = 4y and a hyperbola xy = 1. A tangent is drawn to parabola meets the hyperbola in A and B then locus of midpoint of AB is
Consider a parabola
and a hyperbola XY = 1. A tangent is drawn to parabola meets the hyperbola in A and B then the locus of midpoint of AB is
The total number of 1 word, 2 word, 3 word sentences that can be formed using the letters of the word SAMSUNG is?
The total number of 1 word, 2 word, 3 word sentences that can be formed using the letters of the word SAMSUNG is?
For n => 3 circles, the value of n for which the number of radical axis is equal to number of radical centres is?
For n => 3 circles, the value of n for which the number of the radical axis is equal to number of radical centres is?
The area enclosed between the curves y = sin2x and y = cos2 x in the interval 0 <= x <= pie is
The area enclosed between the curves
Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5km and finally takes a right turn to cover 10 km. How far is he from his original position?
Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5km and finally takes a right turn to cover 10 km. How far is he from his original position?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A particle moves in a straight line such that the distance covered by it in time t seconds measured t3 from a fixed point on the line is given by s = t^3/3- 16t cms. The acceleration when the velocity is zero is
A particle moves in a straight line such that the distance covered by it in time t seconds measured t3 from a fixed point on the line is given by
The acceleration when the velocity is zero is
If inside a big circle exactly 24 small circles, each of radius 2, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then radius of the big circle is?
If inside a big circle exactly 24 small circles, each of radius 2, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then radius of the big circle is?
The differential equation of the system of circles touching the x-axis at origin is?
The differential equation of the system of circles touching the x-axis at origin is?
The number of permutations of the letters of the word HINDUSTAN such that neither the pattern ‘HIN’ nor ‘DUS’ nor ‘TAN’ appears, are
The number of permutations of the letters of the word HINDUSTAN such that neither the pattern ‘HIN’ nor ‘DUS’ nor ‘TAN’ appears, are
Number of ways in which 7 girls & 7 boys can be arranged such that no two boys and no two girls are together is?
Number of ways in which 7 girls & 7 boys can be arranged such that no two boys and no two girls are together is?
Number of ways in which 5 identical objects can be distributed in 8 persons such that no person gets more than one object is?
Number of ways in which 5 identical objects can be distributed in 8 persons such that no person gets more than one object is?
The number of flags with three strips in order that can be formed using 2 identical red, 2 identical blue and 2 identical white strips is?
The number of flags with three strips in order that can be formed using 2 identical red, 2 identical blue and 2 identical white strips is
The number of ways of selecting two numbers from the set {1, 2, ...,12} whose sum is divisible by 3 is?
The number of ways of selecting two numbers from the set {1, 2, ...,12} whose sum is divisible by 3 is?
Let a relation be defined on a set of functions defined on R R such that R = {(f, g)|f – g is an even function} then, relation R is?
Let a relation be defined on a set of functions defined on R R such that R = {(f, g)|f – g is an even function} then, relation R is?
matrix
If a is square matrix of order 3 such that adja=64 find |a|
The normal at P to a hyperbola of eccentricity e, intersects its transverse and conjugate axes at L and M respectively. If locus of the mid-point of LM is hyperbola, then eccentricity of the hyperbola is?
The normal at P to a hyperbola of eccentricity e, intersects its transverse and conjugate axes at L and M respectively. If locus of the mid-point of LM is hyperbola, then eccentricity of the hyperbola is?
The number of ordered pairs (x, y) of real numbers satisfying 4x^2 -4x + 2 = sin^2y and x^2+ y^2<=3 is equal to ?
The number of ordered pairs (x, y) of real numbers satisfying 
is equal to ?
The number of solutions of sin
The number of solutions of
is
The variance of first 50 even natural numbers is?
The variance of first 50 even natural numbers is:
If 9th term of AP is 12 and 10the term is 18.what will be 18the term?
If 9th term of AP is 12 and 10the term is 18.what will be 18the term?
Let a, b, c and d be non−zero numbers. If the point of intersection of the lines 4ax + 2ay + c = 0 and 5bx + 2by + d = lies in the fourth quadrant and is equidistant from the two axes then?
Let a, b, c and d be non−zero numbers. If the point of intersection of the lines 4ax + 2ay + c = 0 and 5bx + 2by + d = lies in the fourth quadrant and is equidistant from the two axes then?
A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is?
A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is?
The slope of the line touching both the parabolas y2 = 4x and x2 = −32y is?
The slope of the line touching both the parabolas
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is?
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is?
Let PS be the median of the triangle with vertices P(2, 2), Q(6, −1) and R (7, 3). The equation of the line passing through (1, −1) and parallel to PS is ?
Let PS be the median of the triangle with vertices P(2, 2), Q(6, −1) and R (7, 3). The equation of the line passing through (1, −1) and parallel to PS is ?
Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to ?
Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to ?
Let α and β be the roots of equation px2 + qx + r = 0, p ≠ 0. If p, q, r are in A.P. and 1/ α +1/ β = 4, then the value of |α − β| is
Let α and β be the roots of equation px2 + qx + r = 0, p ≠ 0. If p, q, r are in A.P. and 1/α +1/ β = 4, then the value of |α − β| is
A purse contains 4 copper and 3 silver coins and another purse contains 6 copper and 2 silver coins. One coin is drawn from any one of these two purses. The probability that it is a copper coin is ?
A purse contains 4 copper and 3 silver coins and another purse contains 6 copper and 2 silver coins. One coin is drawn from any one of these two purses. The probability that it is a copper coin is ?
A bag contains 4 red and 4 blue balls. Four balls are drawn one by one from the bag, then find the probability that the drawn balls are in alternate colour?
A bag contains 4 red and 4 blue balls. Four balls are drawn one by one from the bag, then find the probability that the drawn balls are in alternate colour?
A bag contains 3 red, 6 white and 7 blue balls. Two balls are drawn one by one. What is the probability that first ball is white and second ball is blue when first drawn ball is not replaced in the bag?
A bag contains 3 red, 6 white and 7 blue balls. Two balls are drawn one by one. What is the probability that first ball is white and second ball is blue when first drawn ball is not replaced in the bag?
Find the equation of the hyperbola whose directrix is 2x + y = 1, focus (1, 2) and eccentricity is root 3?
Find the equation of the hyperbola whose directrix is 2x + y = 1, focus (1, 2) and eccentricity 
A box contains 5 different red and 6 different white balls. In how many ways can 6 balls be drawn so that there are at least two balls of each colour ?
A college offers 6 courses in the morning and 4 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening?
A college offers 6 courses in the morning and 4 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening?
A college offers 6 courses in the morning and 4 in the evening. The possible number of choices with the student if he wants to study one course in the morning and one in the evening is?
A college offers 6 courses in the morning and 4 in the evening. The possible number of choices with the student if he wants to study one course in the morning and one in the evening is?
Given two events A and B. If odds against A are as 2 : 1 and those in favour of A B are as 3 : 1, then find the range of P(B)?
Given two events A and B. If odds against A are as 2 : 1 and those in favour of A B are as 3 : 1, then find the range of P(B)?
Three vertices out of six vertices of a regular hexagon are chosen randomly. The probability of getting a equilateral triangle after joining three vertices is ?
Three vertices out of six vertices of a regular hexagon are chosen randomly. The probability of getting a equilateral triangle after joining three vertices is ?
If four cards are drawn at random from a pack of fifty-two playing cards, find the probability that at least one of them is an ace?
If four cards are drawn at random from a pack of fifty-two playing cards, find the probability that at least one of them is an ace?
From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each category is?
From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each category is?
If the letters of INTERMEDIATE are arranged, then the odds in favour of the event that no two 'E's occur together, are ?
If the letters of INTERMEDIATE are arranged, then the odds in favour of the event that no two 'E's occur together, are ?
A bag contains 5 red and 4 green balls. Four balls are drawn at random, then find the probability that two balls are of red and two balls are of green colour?
A bag contains 5 red and 4 green balls. Four balls are drawn at random, then find the probability that two balls are of red and two balls are of green colour?
Words are formed with the letters of the word PEACE. Find the probability that 2 E’s come together?
Words are formed with the letters of the word PEACE. Find the probability that 2 E’s come together?
A coin is tossed successively three times. Find the probability of getting exactly one head or two heads?
A coin is tossed successively three times. Find the probability of getting exactly one head or two heads?
A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.?
A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.
At a certain place, the horizontal component of earth's magnetic field is root 3 times of the vertical component. What the angle of dip at that place.
At a certain place, the horizontal component of earth's magnetic field is root times of the vertical component. What the angle of dip at that place.
Discuss the local maximum and local minimum values of f(x).
Discuss the local maximum and local minimum values of f(x).
In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak English. How many can speak Hindi only ?How many can speak English ? How many can speak both Hindi and English?
In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak English. How many can speak Hindi only ?How many can speak English ? How many can speak both Hindi and English?
A number consists of three digits which are in G.P. the sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of the left hand and middle digits is two third of the sum of the middle and right hand digits. Find the numbers?
A number consists of three digits which are in G.P. the sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of the left hand and middle digits is two third of the sum of the middle and right hand digits. Find the numbers?
Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are ?
Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are ?
Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Find the numbers?
Four different integers form an increasing A.P. One of these numbers is equal to the sum of the squares of the other three numbers. Find the numbers?
What is the value of sec2(tan−1(2))+cosec2(cot−1(3))?
If A and B are two sets containing 3 and 2 elements respectively. What would be then the no of subsets of AxB?
What is the value of F′(x)?
Can anybody help me here. Thanks!!
What is the interval of increase and decrease of funcunction?
Given f(x) = e (x 2 - x), find
a) the interval(s) of increase and decrease of f,
b) value(s) of x for which f has a local extremum,
c) the interval(s) of concavity and any inflection point(s).
A body starts performing uniform circular motion with 100 rounds per min. After how much minimum time its average velocity will be zero?
What is (P ∪ Q) × (P ∩ Q) If P = {x : x < 3, x ∈ N}, Q = {x : x ≤ 2, x ∈ W} and W is the set of whole numbers.
What is the domain of f + g if f and g be two functions given by f = {(2, 4), (5, 6), (8, – 1), (10, – 3)} g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, – 5)}?
If A and B be any two sets such that n(B) = p, n(A) = q then what is the total number of functions f : A → B is equal to?
How following relation is a function? (i) R1 = {(2, 3), ( 1/2 , 0), (2, 7), (– 4, 6)} and (ii) R2 = {(x, |x |) | x is a real number}
What is the domain and range of the relation R.
If A = {2, 4, 6, 9} and B = {4, 6, 18, 27, 54}, a ∈ A, b ∈ B, what is the set of ordered pairs such that 'a' is factor of 'b' and a < b.
Let A = {1, 2, 3, 4} and B = {5, 7, 9}. What is the value of (i) A × B (ii) B × A (iii) Is A × B = B × A ? (iv) Is n (A × B) = n (B × A) ?
In how ways can 6 coins be chosen from 20 one rupees coins, 10 fifty paise coins, 7 twenty paise coins.
In how ways can 6 coins be chosen from 20 one rupees coins, 10 fifty paise coins, 7 twenty paise coins.
A card is lost from a pack of 52 playing cards. From the remainder of the pack, one card is drawn and is found to be spade. The probability that the missing card is a spade is?
A card is lost from a pack of 52 playing cards. From the remainder of the pack, one card is drawn and is found to be spade. The probability that the missing card is a spade is?
Write the set of all positive integers whose cube is odd.
Write the set of all positive integers whose cube is odd.
A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that (i) number on the ticket is a perfect square or divisible by 3 ? (ii) number on the ticket is prime number or greater than 40 ?
A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that
(i) number on the ticket is a perfect square or divisible by 3 ?
(ii) number on the ticket is prime number or greater than 40 ?
Xx+(since)inx
From a group of 8 boys and 5 girls a committee of 5 is to be formed. Find the probability that the committee contains 3 boys and 2 girls?
From a group of 8 boys and 5 girls a committee of 5 is to be formed. Find the probability that the committee contains 3 boys and 2 girls?
Find the differential equation of the family of all circles which pass through the origin and whose centre lie on y–axis?
Find the differential equation of the family of all circles which pass through the origin and whose centre lie on y–axis?
A pair of dice is thrown 7 times. If getting a total of 7 is considered a success, what is the probability of (i) no success ? (ii) 6 successes ? (iii) at least 6 successes ? (iv) at most 6 successes ?
A pair of dice is thrown 7 times. If getting a total of 7 is considered a success, what is the probability of
- no success ?
- 6 successes ?
- at least 6 successes ?
- at most 6 successes ?
A problem in statistics is given to three students A, B and C. Their chances of solving the problem are 1/3, 1/4 and 1/5 respectively. If all of them try independently, what is the probability that?
A problem in statistics is given to three students A, B and C. Their chances of solving the problem are 1/3, 1/4 and 1/5 respectively. If all of them try independently, what is the probability that?
- (i) problem is not solved ?
- (ii) problem is solved ?
- (iii) exactly two students solve the problems
A pair of dice is thrown. If sum of the numbers is an even number, what is the probability that it is a perfect square ?
A pair of dice is thrown. If sum of the numbers is an even number, what is the probability that it is a perfect square ?
An equation of the plane passing through the points (3, 2, –1), (3, 4, 2) and (7, 0, 6) is 5x + 3y – 2z = l, where l is
An equation of the plane passing through the points (3, 2, –1), (3, 4, 2) and (7, 0, 6) is 5x + 3y – 2z = l, where l is
A drunken man takes a step forward with probability 0.4 and backwards with probability 0.6. Find the probability that at the end of eleven steps, he is one step away from the starting point?
A drunken man takes a step forward with probability 0.4 and backwards with probability 0.6. Find the probability that at the end of eleven steps, he is one step away from the starting point?
A dice is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is?
A dice is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is?
5 letters are to be posted in 5 post boxes. If any number of letters can be posted in 5 post boxes, what is the probability that each box contains only one letter?
5 letters are to be posted in 5 post boxes. If any number of letters can be posted in 5 post boxes, what is the probability that each box contains only one letter?
A stone is dropped into a quiet lake and waves move in a circle at a speed of 3.5 cm/sec. At the instant when the radius of the circular wave is 7.5 cm. How fast is the enclosed area increasing?
A stone is dropped into a quiet lake and waves move in a circle at a speed of 3.5 cm/sec. At the instant when the radius of the circular wave is 7.5 cm. How fast is the enclosed area increasing?
A dice is tossed 5 times. Getting an odd number is considere a success. Then the variance of distribution of success is?
A dice is tossed 5 times. Getting an odd number is considere a success. Then the variance of distribution of success is?
A drunken man takes a step forward with probability 0.4 and backwards with probability 0.6. Find the probability that at the end of eleven steps, he is on e step away from the star ting point?
A drunken man takes a step forward with probability 0.4 and backwards with probability 0.6. Find the probability that at the end of eleven steps, he is on e step away from the star ting point?
Let S be a finite set containing n elements. Then the total number of binary operations on S is:
Let S be a finite set containing n elements. Then the total number of binary operations on S is:
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is?
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is?
Differentiate the following function w.r.t x.
Differentiate the following function w.r.t. x :
A doctor is called to see a sick child. The doctor has prior information that 80% of sick children in that area have the flu, while the other 20% are sick with measles. Assume that there is no other disease in that area. A well-known symptom of measles is a rash. From the past records it is known that, chances of having rashes given that sick child is suffering from measles is 0.95. However, occasionally children with flu also develop rash, whose chances are 0.08. Upon examining the child, the doctor finds a rash. What is the probability that the child has measles?
A doctor is called to see a sick child. The doctor has prior information that 80% of sick children in that area have the flu, while the other 20% are sick with measles. Assume that there is no other disease in that area. A well-known symptom of measles is a rash. From the past records it is known that, chances of having rashes given that sick child is suffering from measles is 0.95. However, occasionally children with flu also develop rash, whose chances are 0.08. Upon examining the child, the doctor finds a rash. What is the probability that the child has measles?
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x .The maximum area enclosed by the park is?
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x .The maximum area enclosed by the park is?
Coefficient of variation of two distributions are 60 and 70, and their standard deviations are 21 and 16, respectively. Their arithmetic means are?
Coefficient of variation of two distributions are 60 and 70, and their standard deviations are 21 and 16, respectively. Their arithmetic means are?
An arch is in the form of semi-ellipse. It is 8m wide and 2m high at the centre. Then, the height of the arch at a point1.5m from one end is?
An arch is in the form of semi-ellipse. It is 8m wide and 2m high at the centre. Then, the height of the arch at a point1.5m from one end is?
An arch is in the form of semi-ellipse. It is 8m wide and 2m high at the centre. Then, the height of the arch at a point1.5m from one end is?
An arch is in the form of semi-ellipse. It is 8m wide and 2m high at the centre. Then, the height of the arch at a point1.5m from one end is?
Coefficient of variation of two distributions are 60 and 70,and their standard deviations are 21 and 16, respectively.Their arithmetic means are?
Coefficient of variation of two distributions are 60 and 70,and their standard deviations are 21 and 16, respectively.Their arithmetic means are?
A school has four sections of chemistry in class XII having40, 35, 45 and 42 students. The mean marks obtained inChemistry test are 50, 60, 55 and 45 respectively for the four sections, the over all average of marks per students is
A school has four sections of chemistry in class XII having40, 35, 45 and 42 students. The mean marks obtained inChemistry test are 50, 60, 55 and 45 respectively for the four sections, the over all average of marks per students is?
Let f (x) be a polynomial function of second degree. If f (1) = f (–1) and a, b, c are in A.P., then f'(a), f'(b) and f'(c) are in?
Let f (x) be a polynomial function of second degree. If f (1) = f (–1) and a, b, c are in A.P., then f'(a),
f'(b) and f'(c) are in?
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression is equals
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression is equals
The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is?
The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is?
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is?
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is?
In a bag, there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red ?
In a bag, there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red ?
There are 6 consecutive odd numbers. The difference between the square of the average of the first three numbers and the square of the average of the last three numbers is 288. What is the last odd number ?
There are 6 consecutive odd numbers. The difference between the square of the average of the first three numbers and the square of the average of the last three numbers is 288. What is the last odd number ?
A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty-six litre of this mixture was taken out and replaced with 8 litre of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel ? (in litre)
A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty-six litre of this mixture was taken out and replaced with 8 litre of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel ? (in litre)
The cost price of item B is Rs. 150/- more than the cost price of item A. Item A was sold at a profit of 10% and item B was sold at a loss of 20%. If the respective ratio of selling prices of items A and B is 11 : 12, what is the cost price of item B?
The cost price of item B is Rs. 150/- more than the cost price of item A. Item A was sold at a profit of 10% and item B was sold at a loss of 20%. If the respective ratio of selling prices of items A and B is 11 : 12, what is the cost price of item B?
If a, b, c are rational, show that the roots of the equation are rational.
If a, b, c are rational, show that the roots of the equation
are rational.
The following statement (p->q)->[(~p->q)->q] is?
The following statement (p->q)->[(~p->q)->q] is? 1.a tautology 2.equivalent to ~p->q 3.equivalent to p->~q 4.a fallacy
Circle(s) touching x-axis at a distance 3 from the origin?
Circle(s) touching x-axis at a distance 3 from the origin
and having an intercept of length 
on y-axis is (are)
Let PQ be a focal chord of the parabola
Let PQ be a focal chord of the parabola 
The tangents to the parabola at P and Q meet at a point lying on the line y = 2x + a, a > 0.
1.Length of chord PQ is?
2.If chord PQ subtends an angle θ at the vertex of y2 = 4ax, then tanθ =
Where did this 8(x+h ) come from
If a chord is not ahttps://www.innovayz.com/questions-answers/question-detail?q_code=114&q_detail=If+a+chord%2C+which+is+not+a+tangent%2C+of+the+parabola+y2+%3D+16x+has+the+equation+2x+%2B+y+%3D+p%2C+and+midpoint+%28h%2C+k%29%2C+then+what+is%28are%29+possible+value%28s%29+of+p%2C+h+and+k+%3F+
Find local minimum or a local maximum at x?
has a local minimum or a local maximum at x =?In an examination of a school having 60 students in XII A and 40 students in XII B, 15 and 20 students failed in XII A and XII B, respectively. A student is called by the principal at random, find the probability that he is from XII A if he passed in the examination.
In an examination of a school having 60 students in XII A and 40 students in XII B, 15 and 20 students failed in XII A and XII B, respectively. A student is called by the principal at random, find the probability that he is from XII A if he passed in the examination.
A factory makes nuts and bolts. A nut takes 1.5 hrs of machine time and 3 hrs of worker’s time in its making while a bolt takes 3 hrs of machine time and 1 hr of worker’s time. In a day, the factory has the availability of not more than 42 hrs of machine time and 24 hrs of worker’s time. If the profit on a nut is Rs. 20 and on a bolt is Rs. 10, find the number of nuts and bolts the factory should manufacture to earn maximum profit. Make it as L.P.P and solve it graphically.
A factory makes nuts and bolts. A nut takes 1.5 hrs of machine time and 3 hrs of worker’s time in its making while a bolt takes 3 hrs of machine time and 1 hr of worker’s time. In a day, the factory has the availability of not more than 42 hrs of machine time and 24 hrs of worker’s time. If the profit on a nut is Rs. 20 and on a bolt is Rs. 10, find the number of nuts and bolts the factory should manufacture to earn maximum profit.
Make it as L.P.P and solve it graphically.
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Find the equation of normal?
Find the equation of normal at point 
for the curve 
find 5 digit numbers divisible by 3 which does not contain 3.
find 5 digit numbers divisible by 3 which does not contain 3.
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is?
A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is?
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is?
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is?
what will be value of cos 4x?
then value of cos 4x?
In a triangle PQR, P is the largest angle and cos P = 1/3. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are) ?
In a triangle PQR, P is the largest angle and cos P = 1/3. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are) ?
Words of length 10 are formed using the letters, A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated ; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, y/9x=?
Words of length 10 are formed using the letters, A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated ; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, y/9x=?
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1/ 4 and P(All the three events occur simultaneously) = 1 /16 . Then the probability that at least one of the events occurs, is?
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1/ 4 and P(All the three events occur simultaneously) = 1 /16 . Then the probability that at least one of the events occurs, is?
If two different numbers are taken from the set {0, 1, 2, 3, …, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is:
If two different numbers are taken from the set {0, 1, 2, 3, …, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is:
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 /4 and P(All the three events occur simultaneously) = 1/ 16 . Then the probability that at least one of the events occurs, is:
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 /4 and P(All the three events occur simultaneously) = 1/ 16 . Then the probability that at least one of the events occurs, is:
Calculate y=|x| if the The radius of a circle, having minimum area, which touches the curve y = 4 – x*x?
Calculate y=|x| if the The radius of a circle, having minimum area, which touches the curve y = 4 – x*x?
If 2x - y + 1 = 0 is a tangent to the hyperbola (x/a)*(x/a)-(y/4)*(y/4)=1,then what is the sides of a right angled triangle?
If 2x - y + 1 = 0 is a tangent to the hyperbola (x/a)*(x/a)-(y/4)*(y/4)=1,then what is the sides of a right angled triangle?
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If angle BPC = β , then calculate value of tan β.
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If angle BPC = β , then calculate value of tan β.
What will be the probability that at least one of the event occurs for three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 and P(All the three events occur simultaneously) = 1/16?
What will be the probability that at least one of the event occurs for three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 and P(All the three events occur simultaneously) = 1/16?
Let S = {1, 2, 3, ..... , 9}. For k = 1, 2, ....., 5, let NK be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5
Let S = {1, 2, 3, ..... , 9}. For k = 1, 2, ....., 5, let NK be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5
Calculate the length of the other edges if Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm3?
Calculate the length of the other edges if Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm3?
How many m^2 of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?
How many m^2 of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?
sample math
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What is the equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y -2z = 5 and 3x-6y -2z = 7?
What is the equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y -2z = 5 and 3x-6y -2z = 7?
what is biog bang edge test
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What will be the variance of the number of green balls drawn if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement?
What will be the variance of the number of green balls drawn if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement?
What is cubiod?
What is cuboid? What will be the real time examples of the cuboid.
What will be the variance of the number of green balls drawn is if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement?
What will be the variance of the number of green balls drawn is if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement?