List of top Questions asked in CUET (UG)

Match List I with List II

Choose the correct answer from the options given below:

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 :

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 :

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 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 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:

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

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

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

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: