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JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)

JEE Main 2023 Mathematics question on Sets Relations and Functions

The relation R={(a,b):gcd⁡(a,b)=1,2a≠b,a,b∈Z}R = \{(a,b): \gcd(a,b) = 1, 2a \neq b, a, b \in \mathbb{Z}\} is :
  1. A.
    reflexive but not symmetric
  2. B.
    neither symmetric nor transitive
  3. C.
    symmetric but not transitive
  4. D.
    transitive but not reflexive
Show answer

Correct option: C

[JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)]

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