List of top Questions asked in CUET (UG)

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

If \(A= \begin{bmatrix}1&√3&0 \\-√3&1&0 \\ 0&0&2 \end{bmatrix}\) and \(B=\begin{bmatrix}√3&1&0 \\-1&√3&0 \\ 0&0&2 \end{bmatrix}\) then AB is equal to :

If A=\(\begin{bmatrix} 2&3 \\ -1&1\end{bmatrix}\)and \(A^2-3A+kI = 0\) then the value of k is:

If the matrix \(\begin {bmatrix} x-y&1&-2 \\ 2x-y&0&3 \\ 2&-3&0 \end {bmatrix}\) is skew-symmetric, then values of x and y are respectively

The value of tan(cos^-1x) is:

Which of the following is a correct statement ?

Domain of function \(f(x) = cos^{-1}\sqrt {2x-1}\) is

If a discrete random variable X has the following probability distribution:

then c is:

The domain of the function f(x) = log \((x^2-4)\) is:

The maximum value of Z = 3x + 4y subject to constraint x + y ≤6, x, y ≥ 0 is:

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

For the problem max Z = ax + by, x≥0, y ≥0, which of the following is NOT a valid constraint to make it a linear programming problem?

A random variable has the following probability distribution

The value of P(X <3) is:

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

If \(\frac{d}{dx}(2\frac{d^2y}{dx^2})^3= 7\), then the sum of order and degree of the differential equation is:

If \(f(x)=-3x^2\), then f(x) is:

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

The value of \(∫(5x-2)^3\) dx is:

If A = \(\begin{bmatrix} 2 & 1 \\[0.3em] 1 & 4 \\[0.3em] -1 & 6 \\[0.3em] 0&7 \end{bmatrix}\) and B= \(\begin{bmatrix} 1 & 2&3&0 \\[0.3em] 2 & -1 & 6&7\end{bmatrix}\) then

If A is a non singular square matrix of order 3 such that \(A^3 = 4A^2\) then value of |A| is:

Some of the exponents and performers of Classical Indian Dance are :
(A) Udayshankar
(B) Smt. Rukmini Devi
(C) Pt. Birju Maharaj
(D) Smt. Nayana Zaveri
(E) G. Venu
Choose the correct answer from the options given below :

If \(\begin{bmatrix} 4x & 5x-7 \\[0.3em] 4x & 2x+y\end{bmatrix}\)=\(\begin{bmatrix} x+6 & y \\[0.3em] 7y-13 & 7\end{bmatrix}\) then the value of 2x + y is:

The area of a triangle with vertices (0, -3), (0, 3) and (k, 0) is 27 sq.units. The value of k is:

Which of the following Sthayi Bhavas correspond to a Rasa ?
(A) Shringar - Rati
(B) Raudra Bhaya
(C) Hasya - Haas
(D) Adbhuta - Vismaya
(E) Vibhatsa - Utsaha
Choose the correct answer from the options given below :

Arrange the constituent elements of Rasa according to the Rasa-Sutra given in Natyashatra.
(A) Samyogād
(B) Vibhav
(C) Anubhav
(D) Vyabhichari
(E) Rasanishpatti
Choose the correct answer from the options given below: