CUET (UG) entrance exam Question Bank Solutions for Mathematics

`int x^2 e^(x^3) dx` equals

`int e^x sec x(1 + tanx) dx` equals

`int sqrt(1 + x^2) dx` is equal to

`int sqrt(x^2 - 8x + 7)  dx` is equal to:-

What is anti derivative of `e^(2x)`

The area of the circle `x^2 + y^2 = 16`, exterior to the parabola `y = 6x`

Area of rectangle having vertices A, B, C and D will position vector `(- hati + 1/2hatj + 4hatk), (hati + 1/2hatj + 4hatk) (hati - 1/2hatj + 4hatk)` and `(-hati - 1/2hatj + 4hatk)` is

If a line makes angles 90°, 135°, 45° with x, y and z-axis respectively then which of the following will be its direction cosine.

Find the direction cosine of a line which makes equal angle with coordinate axes.

If a line has the direction ratio – 18, 12, – 4, then what are its direction cosine.

What will be the value of 'P' so that the lines `(1 - x)/3 = (7y - 14)/(2P) = (z - 3)/2` and `(7 - 7x)/(3P) = (y - 5)/1 = (6 - z)/5` at right angles.

A linear function z = ax + by, where a and b are constants, which has to be maximised or minimised according to a set of given condition is called a:-

Maximised value of z in z = 3x + 4y, subject to constraints : x + y ≤ 4, x ≥ 0. y ≥ 0

If z = 200x + 500y  .....(i)

Subject to the constraints:

x + 2y ≥ 10  .......(ii)

3x + 4y ≤ 24  ......(iii)

x, 0, y ≥ 0  ......(iv)

At which point minimum value of Z is attained.

If P(A) = `1/2`, P(B) = 0, then `P(A/B)` is

If θ is the angle between two vectors `veca` and `vecb` then, `veca * vecb` ≥ 0, only when

The value of k for which the system of equations x + ky + 3z = 0, 4x + 3y + kz = 0, 2x + y + 2z = 0 has nontrivial solution is

Let A = `((cos^2x, sin^2x),(sin^2x, cos^2x))` and B = `((sin^2x, cos^2x),(cos^2x, sin^2x))`. Then the determinant of the matrix A + B is

If A is a finite set consisting of n elements, then the number of reflexive relations on A is

The function f: N → N, where

f(n) = `{{:(1/2(n + 1), "If n is sold"),(1/2n, "if n is even"):}` is