An equivalence relation must be reflexive, symmetric, and transitive on {1,2,3}. (B) is identity, all three hold. (D) contains all pairs, all hold. (A) misses (3,3). (C) misses (2,2),(3,3). (E) is not symmetric.
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 =…
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
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 :
Official previous-year question
Held on 17 Aug 2022 · Verified 13 Jul 2026.
Options
- A
(B) and (D) only
- B
(A) and (B) only
- C
(D) and (E) only
- D
(C) and (E) only
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