CUET (UG) entrance exam Question Bank Solutions for Mathematics

If all the elements are zero, then matrix is said to be

A = `[a_(ij)]_(m xx n)` is a square matrix, if

The number of all possible matrices of order 3/3, with each entry 0 or 1 is

If 'A' is square matrix, such that A² = A, then (7 + A)³ = 7A is equal to

Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0

Let y = f(x) be a function. If the change in one quantity 'y’ varies with another quantity x, then which of the following denote the rate of change of y with respect to x.

What is the rate of change of the area of a circle with respect to its radius when, r = 3 cm

The radius of a circle is increasing uniformly at the rate of 3 cm per second. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall?

A cylindrical tank of radius 10 feet is being filled with wheat at the rate of 3/4 cubic feet per minute. The then depth of the wheat is increasing at the rate of

The anti derivative of `(sqrt(x) + 1/sqrt(x))` is equals:

If `d/(dx) f(x) = 4x^3 - 3/x^4`, such that `f(2) = 0`, then `f(x)` is

`sqrt((10x^9 + 10^x  log e^10)/(x^10 + 10^x)) dx` equals

`int (dx)/(sin^2x cos^2x) dx` equals

`int (sin^2x - cos^2x)/(sin^2x cos^2x) dx` is equal to

`int (e^x (1 + x))/(cos^2 (xe^x)) dx` equal

`int (dx)/sqrt(9x - 4x^2)` equal

`int (dx)/sqrt(9x - 4x^2)` equals

`int (xdx)/((x - 1)(x - 2))` equals

`int (dx)/(x(x^2 + 1))` equals