Take x=0.5: 0.5≤0.25 is false, so not reflexive. Take (2,3): 2≤9 true but 3≤4 true; check (0.5,1): 0.5≤1 true, (1,0.5): 1≤0.25 false, not symmetric. (2,−3)∈R: 2≤9, (−3,1): −3≤1, but (2,1): 2≤1 false, not transitive. So neither reflexive nor symmetric (B), and neither reflexive nor transitive (C).
The Relation R = (x, y) : x ≤ y^2 defined on the set R of Real numbers is : (A) reflexive but not symmetric (B) neither reflexive nor symmetric (C)…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
The Relation R={(x,y):x≤y2} defined on the set R of Real numbers is :
(A) reflexive but not symmetric
(B) neither reflexive nor symmetric
(C) neither reflexive nor transitive
(D) reflexive but not transitive
(E) not reflexive but symmetric
Choose the correct answer from the options given below :
Official previous-year question
Held on 17 Aug 2022 · Verified 13 Jul 2026.
Options
- A
(A) and (C) only
- B
(B) and (C) only
- C
(A) and (D) only
- D
(C) and (E) only
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