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WBJEE 2018 Math Solved Paper
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© examsnet.com
Question : 63
Total: 75
Let ρ be a relation defined on N, the set of natural numbers, as
ρ = {(x, y) ∈ N × N : 2x + y = 41}. Then
ρ is an equivalence relation
ρ is only reflexive relation
ρ is only symmetric relation
ρ is not transitive
Validate
Solution:
ρ = {(x, y) ∈ N × N, 2x + y = 41}
for reflexive relation x R x ⇒ 2x + x = 41 ⇒ x =
41
3
∉ N
for symmetric ⇒ x R y
⇒ 2x + y = 41 ≠ y R x (Not symmetric)
for transitive x R y ⇒ 2x + y = 41 and y R z ⇒ 2y + z = 41, not transitive
Ans. (D)
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