JEE Mains Model Paper 9

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Question : 69 of 90

Marks: +1, -0

Consider the following relations:
R = {(x, y) | x, y are real numbers and x = wy for some rational number w};
S = { (

m

n

,

p

q

) m, n, p and q are integers such that n, q ≠ 0 and qm = pn }. Then

Neither R nor S is an equivalence relation
S is an equivalence relation but R is not an equivalence relation.
R and S both are equivalence relations.
R is an equivalence relation but S is not an equivalence relation.

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