List of top Questions asked in CUET (UG)

Area of the region bounded by \(y=-1, y=2, x=y^3 \space and \space x=0\) is:

The area of the shaded portion

is:

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:

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

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

Let \(\overrightarrow a = 4\hat i -\hat j + 3\hat k\) and \(\overrightarrow b = -2\hat i + \hat j-2\hat k\). Then
(A) \(\overrightarrow a\) is a unit vector
(B) \(\overrightarrow a\times \overrightarrow b=-\hat i + 2\hat j + 2\hat k\)
(C) \(\overrightarrow a\) and \(\overrightarrow b\) are parallel vectors
(D) \(\overrightarrow a\) and \(\overrightarrow b\)are neither parallel nor perpendicular vectors
Choose the correct answer from the options given below :

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

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

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

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

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

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:

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

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

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

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

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

Choose the wrong statement from the following:

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

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:

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

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