List of top Mathematics Questions asked in CUET (UG)

The differential equation whose solution is Ax²+By²=1 where A and B are arbitrary constant is of:
(A) first order and first degree
(B) second order and first degree
(C) second order and second degree
(D) second order
Choose the correct answer from the options given below:

Integrating factor of the differential equation \((1-y²) \frac{dx}{dy} + xy = ay\) is:

The integral \(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\) equals_____.

The points of discontinuity of the function \(f\) defined by \(f(x) = \begin{cases} x+2 & x≤1 \\ x-2 &1<x<2\\ 0& x≥2\end{cases}\) are:

The value of C which satisfies Rolle's Theorem for f(x) = sin⁴x + cos⁴x in \([0, \frac{π}{2}]\). Then C is:

The value of \(\int_0^3 |2x-6|dx\) is:

Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

The rate of change of the area of a circular disc with respect to its circumference when radius is 3 is:

If cosy = xcos(a + y), then \(\frac{dy}{dx}\) =

The interval in which the \(f(x) = sinx-cosx, 0 ≤ x ≤ 2π\) is strictly decreasing is :

Let \(\begin{vmatrix}3x&-7\\1&4\end{vmatrix}=\begin{vmatrix}3&2\\ 4&x\end{vmatrix}\), then value of x is:

The value of 2y-3x, if
\(2\begin {bmatrix}x &5\\ 7&y-3\end{bmatrix}+\begin{bmatrix}3&-4\\ 1&2\end{bmatrix}=\begin{bmatrix}7&6 \\15&14\end{bmatrix}\) is:

The number of square matrices of order 2 using numbers 1 and -1 exactly once and the number 0 twice is:

The value of the determinant \(\begin{vmatrix}acosθ&bsinθ&0 \\-bsinθ&acosθ&0\\ 0&0&c\end{vmatrix}\) is:

Match List - I with List II. If \(A = \begin{vmatrix}3&-2&3 \\2 &1 &-1 \\4 &-3 &2\end{vmatrix}\)

Choose the correct answer from the options given below:

If the points (2, 1), (1, 4) and (a, 3) are collinear then the value/(s) of a is/(are):

Let \(tan^{-1}y=tan^{-1}x+tan^{-1}(\frac{2x}{1-x^2})\). Then y is:

Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :

For the LPP
Maximise z=x+y
subject to x-y≤-1, x+y≤2, x, y≥0, z has:

Choose the wrong statement from the following:

Let f: R→R defined by f(x)=2x³-7 for x∈R. Then:
(A) f is one-one function
(B) f is many to one function
(C) f is bijective function
(D) f is into function
Choose the correct answer from the options given below:

The mean of the number of heads in a simultaneous toss of three coins is :

Area of the region bounded by the curve |x|+|y|=1 and x-axis is :

The value of the integral \(\int\limits_2^4 \frac{x}{x^2+1} dx\) is:

The sum of order and degree of the differential equation\[\frac{\{1+(\frac{dy}{dx})^2\}^\frac{5}{2}}{\frac{d^2y}{dx^2}}=p\]is: