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

Anonymous User Maths Complex Numbers 26 May, 2020 69 views

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

is

Anonymous User Maths Complex Numbers 26 May, 2020 90 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 60 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 72 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 112 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 74 views

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

Anonymous User Physics Laws of Motion and Friction 25 May, 2020 85 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 104 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 82 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 67 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 76 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 73 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 66 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 68 views

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

Anonymous User Maths Straight Lines 23 May, 2020 78 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 64 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 72 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 64 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 152 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 272 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 128 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

A real valued function f (x) satisfies the functional equation f(x – y) = f (x)f (y) – f(a – x)f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal to

Anonymous User Maths Set, Relations and Functions 20 May, 2020 70 views

A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?

Anonymous User Maths Set, Relations and Functions 20 May, 2020 64 views

Let f : (–1, 1)  B, be a function defined by f(x)  = , then f is both one­-one and onto when B is the interval

Anonymous User Maths Set, Relations and Functions 20 May, 2020 59 views

Let R = {(3, 3) (6, 6) (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. What is the relation then?

Anonymous User Maths Set, Relations and Functions 20 May, 2020 86 views

What is the domain of the function f(x) = ?

Anonymous User Maths Set, Relations and Functions 20 May, 2020 71 views

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. What is the relation R here?

Anonymous User Maths Set, Relations and Functions 18 May, 2020 96 views

If f : R  R satisfies f (x + y) = f (x) + f (y), for all and f (1) = 7, then  is

Anonymous User Maths Set, Relations and Functions 18 May, 2020 73 views

Domain of definition of the function

Anonymous User Maths Set, Relations and Functions 18 May, 2020 67 views

A function f from the set of natural numbers to integers defined by

Anonymous User Maths Set, Relations and Functions 18 May, 2020 64 views

The graph of the function y = f (x) is symmetrical about the line x = 2, then

Anonymous User Maths Set, Relations and Functions 18 May, 2020 56 views

If f : R  S, defined by f(x) = sin x -  cos x  + 1, is onto, then what will be the interval of S?

Anonymous User Maths Set, Relations and Functions 18 May, 2020 66 views

What is the range of the function f (x) = 7 - x0x - 3

Anonymous User Maths Set, Relations and Functions 18 May, 2020 71 views

The function  is

Anonymous User Maths Set, Relations and Functions 17 May, 2020 69 views

If x1, x2, x3 and y1, y2, y3 are both in G.P. with the same common ratio, then the points (x1, y1), (x2, y2) and (x3, y3)

Anonymous User Maths Sequences and Series 17 May, 2020 100 views

What is the domain of ?

Anonymous User Maths Set, Relations and Functions 17 May, 2020 68 views