CUET Mathematics - Let L be the set of all lines in a plane and R be the relation on set L defined by R = \(L_1, L_2): L_1 L_2\ Then R is (A) an equivalence Relation (B) a symmetric Relation (C) not a transitive Relation (D) a reflexive Relation Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Algebra

Medium

core

(A) only

(B) and (C) only

(B) and (D) only

(B), (C) and (D) only

✅ Correct Option: 2

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Let $f: \mathbb{R}$ -> $\mathbb{R}$ be a function defined as $f(x) = x^4$ . Which one of the following is true?

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Match List-I with List-II

Let $f: A o B$ be a function given by $f(x) = x^2$

List-I	List-II
Domain and Co-domain	Kind
(A) $A = \mathbb{R}$ and $B = \mathbb{R}$	(I) $f$ is both one-one and onto
(B) $A = \mathbb{R}$ and $B = [0, \infty]$	(II) $f$ is one-one but not onto
(C) $A = B = [0, \infty]$	(III) $f$ is not one-one but onto
(D) $A = [0, \infty]$ and $B = \mathbb{R}$	(IV) $f$ is neither one-one nor onto

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 2 PYQs