CUET (UG) entrance exam Question Bank Solutions for Mathematics

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

`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.

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

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

The value of f(0) for the function `f(x) = 1/x[log(1 + x) - log(1 - x)]` to be continuous at x = 0 should be

If `f`: R → {0, 1} is a continuous surjection map then `f^(-1) (0) ∩ f^(-1) (1)` is:

The relation > (greater than) on the set of real numbers is

Which one of the following relations on the set of real numbers R is an equivalence relation?