CUET Mathematics 2026 30th May Shift 2 PYQs

Which of the following relations on the set $A = \{1, 2, 3\}$ are equivalence ?

(A) $R = \{(1,1), (2,2), (1,2), (2,1)\}$

(B) $R = \{(1,1), (2,2), (3,3)\}$

(C) $R = \{(1,1), (1,2), (2,1)\}$

(D) $R = \{(1,1), (2,2), (3,3), (1,2), (2,1), (2,3), (3,2), (1,3), (3,1)\}$

(E) $R = \{(1,1), (2,2), (3,3), (1,2)\}$

Choose the correct answer from the options given below :

The range of the function $f(x) = \frac{1}{3 - \sin 4x}$ is:

Let X be a non empty set and S be the collection of all subsets of X. A relation R in S is defined by $R=\{(A,B): A\subseteq B\}$, where $X\subseteq Y$ means $X$ is proper subset of $Y$. Then R is: