Difference between the corresponding roots of x2 + ax + b = 0 and x2 + bx + a = 0 is same and a  b, then

Anonymous User Maths Quadratic Equation 29 May, 2020 67 views

A particle is thrown upward vertically with initial speed  where g is acceleration due to gravity on earth's surface.What is the maximum height attain by the particle?

Anonymous User Physics Laws of Motion and Friction 29 May, 2020 62 views

Find the free fall time of a test mass on an object of Mass M from a height 2R to R?

Anonymous User Physics Laws of Motion and Friction 29 May, 2020 1027 views

A Constant force f is applied on a particle of mass 'm' which is initially at rest. As the particle starts moving a resistive force -bv begins to act on it.Speed of the particle at any instant of time 't' is?

Anonymous User Physics Laws of Motion and Friction 28 May, 2020 89 views

Anonymous User Physics Laws of Motion and Friction 28 May, 2020 175 views

Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

Anonymous User Maths Complex Numbers 27 May, 2020 72 views

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x = cy + bz, y = az + cx and z = bx + ay. Then a2 + b2 + c2 + 2abc is equal to

Anonymous User Maths Complex Numbers 27 May, 2020 65 views

Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr(A), the sum of diagonal entries of A. Assume that A2 = I.

Statement­1 : If A  I and A – I, then det A = –1.

Statement­2 : If A  I and A – I, then tr(A)  0.

Anonymous User Maths Complex Numbers 27 May, 2020 59 views

Let A = .

If |A2| = 25 the |a| quuals to

Anonymous User Maths Complex Numbers 27 May, 2020 58 views

If D =  for x  0, y  0 then D is

Anonymous User Maths Complex Numbers 27 May, 2020 58 views

Let A =  and B = , a, b  N. Then

Anonymous User Maths Complex Numbers 26 May, 2020 58 views

If A and B are square matrices of size n × n such that A2 – B2 = (A – B)(A + B), then what will be always true?

Anonymous User Maths Complex Numbers 26 May, 2020 94 views

The system of equations ax + y + z = a – 1, x + ay + z = a – 1, x + y + az = a – 1 has no solutions, if a is

Anonymous User Maths Complex Numbers 26 May, 2020 121 views

If a2 + b2 + c2 = – 2 and

then what is f(x) is a polynomial of degree?

Anonymous User Maths Complex Numbers 26 May, 2020 65 views

If A =  and I = , then which one of the following holds for all n ≥ 1, by the principle of mathematical induction

Anonymous User Maths Complex Numbers 26 May, 2020 66 views

If A2 – A + I = 0, then the inverse of A is

Anonymous User Maths Complex Numbers 26 May, 2020 68 views

If a1, a2, a3, ...., an, ... are G.P., then the value of the determinant

is

Anonymous User Maths Complex Numbers 26 May, 2020 88 views

Let A =  and 10(B) =

If B is the inverse of matrix A, then what is the ?

Anonymous User Maths Complex Numbers 26 May, 2020 57 views

Let A =  ̄

The only correct statement about the matrix A is

Anonymous User Maths Complex Numbers 26 May, 2020 59 views

If A =  and A2 = , then

Anonymous User Maths Complex Numbers 26 May, 2020 57 views

A motor boat going down stream over came a raft at a point A, t = 60 min later it turned back and after some time passed the raft at a distance l = 6.0 km from the point A. Find the flow velocity assuming the duty of the engine to be constant?

Anonymous User Physics 26 May, 2020 71 views

A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as

Where is a constant with appropiate dimension with is a constant with dimension of temperature .

The heat capacity of the metal is?

Anonymous User Physics 26 May, 2020 110 views

Divide 64 into two parts such that sum of the cubes of two parts is minimum.

Anonymous User Maths Maxima-Minima 25 May, 2020 73 views

What is maximum acceleration so that so that two block move together?

Anonymous User Physics Laws of Motion and Friction 25 May, 2020 82 views

Two particles of masses m1 and m2 are placed 'd' distance apart. Due to gravitational attraction they move towards each other.What is speed of m1 when their separation reduces to d/2.

Anonymous User Physics Laws of Motion and Friction 24 May, 2020 102 views

What is the Value of ?

Anonymous User Maths Complex Numbers 23 May, 2020 64 views

If w = [z / z - (1/3)i] -and |w| = 1, then z lies on

Anonymous User Maths Complex Numbers 23 May, 2020 80 views

If z1 and z2 are two non­zero complex numbers such that |z1 + z2| = |z1| + |z2|, then argz1 – argz2 is equal to

Anonymous User Maths Complex Numbers 23 May, 2020 65 views

If |z2 – 1| = |z|2 + 1, then z lies on

Anonymous User Maths Complex Numbers 23 May, 2020 69 views

If z = x – iy and z1/3 = p + iq, then when will value of ?

Anonymous User Maths Complex Numbers 23 May, 2020 74 views

Let z, w be complex numbers such that z +  = 0 and zw =  Then arg z equals

Anonymous User Maths Complex Numbers 23 May, 2020 64 views

Let z1 and z2 be two roots of the equation z2 + az + b = 0, z being complex further, assume that the origin, z1 and z2 form an equilateral triangle, then what will be a2?

Anonymous User Maths Complex Numbers 23 May, 2020 69 views

If z and w are two non­-zero complex numbers such that |zw| = 1, and Arg(z) – Arg(w) =  then zw is equal to

Anonymous User Maths Complex Numbers 23 May, 2020 72 views

If [(1 + i) / (1 - i)]x = 1, then what will be x?

Anonymous User Maths Complex Numbers 23 May, 2020 74 views

What will be the locus of the centre of a circle which touches the circle | z - z1 | = a and | z - z2 | = b externally?

Note: z, z1 & z2 are complex numbers.

Anonymous User Maths Complex Numbers 23 May, 2020 64 views

Two particle of masses m1 and m2 are 'd' distance apart. Due to gravitational attraction they move towards each other. what is speed of m1 when their separation reduces to d/2.

Anonymous User Physics Laws of Motion and Friction 23 May, 2020 67 views

Prove that every first degree equation in x, y represents a straight line?

Anonymous User Maths Straight Lines 23 May, 2020 76 views

Prove that the co-ordinates of the vertices of an equilateral triangle can not all be rational?

Anonymous User Maths Straight Lines 23 May, 2020 63 views

If the vertices of a triangle are (1, 2), (4, –6) and (3, 5) then its area is

Anonymous User Maths Straight Lines 23 May, 2020 62 views

Find the hyperbola whose asymptotes are 2x – y = 3 and 3x + y – 7 = 0 and which passes through the point (1, 1).

Anonymous User Maths Hyperbola 22 May, 2020 68 views

Let z, w be complex numbers such that z +  = 0 and zw =  Then arg z equals

Anonymous User Maths Complex Numbers 22 May, 2020 56 views

Let z1 and z2 be two roots of the equation z2 + az + b = 0, z being complex further, assume that the origin, z1 and z2 form an equilateral triangle, then what will be a2?

Anonymous User Maths Complex Numbers 22 May, 2020 71 views

The radius of the circle, having centre at (2, 1), whose one of the chord is a diameter of the circle x2 +y2 –2x–6y+6=0

Anonymous User Maths Circle 22 May, 2020 62 views

A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is-

Anonymous User Maths Circle 22 May, 2020 56 views

Consider a family of circles which are passing through the point (–1, 1) and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval-

Anonymous User Maths Circle 22 May, 2020 99 views

Three distinct points A, B and C are given in the 2–dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (–1, 0) is equal to 1/3 . Then the circumcentre of the triangle ABC is at the point :-

Anonymous User Maths Circle 22 May, 2020 57 views

The point diametrically opposite to the point (1, 0) on the circle x2 + y2 + 2x + 4y – 3 = 0 is-

Anonymous User Maths Circle 22 May, 2020 149 views

A and B are two fixed points and P moves such that PA = nPB where n != 1. Show that locus of P is a circle and for different values of n all the circles have a common radical axis.

Anonymous User Maths Circle 22 May, 2020 263 views

The circle x2 + y2 – 6x – 10y + k = 0 does not touch or intersect the coordinate axes and the point (1, 4) is inside the circle. Find the range of the value of k.

Anonymous User Maths Circle 21 May, 2020 125 views

Find the equation of the image of the circle x2 + y2 + 16x – 24y + 183 = 0 by the line mirror 4x + 7y + 13 = 0?

Anonymous User Maths Circle 21 May, 2020 139 views