+2 votes
in JEE by kratos

Consider the following relations

R ={(x, y) | x, y are real numbers and x = wy for some rational number w}

  • = {(m/n, p/q) | m, n, p and q are integers such that n, q ≠ 0 and qm = pn}. Then,

(a) R is an equivalence relation but * is not an equivalence relation

(b) Neither R nor * is an equivalence relation

(c) * is an equivalence relation but R is not an equivalence relation

(d) R and * both are equivalence relations

1 Answer

+3 votes
by kratos
 
Best answer

*Correct option (c) is an equivalence relation but R is not an equivalence relation**

Explanation:

The relation * is transitive.

Hence, the relation * is equivalence relation.

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