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Q.1. For real numbers x and y, we write x * y if x –y + is an irrational number. Then, the relation* is an equivalence relation. (1981  2 Marks)
Ans. F
Sol. Given that, x * y = x –y+
Consider x = 2 , y =
then x *y (irrational)
and y *x = (rational)
∴ x * y ¹ y * x
Hence * is not symm. ⇒ * is not an equivalence relation
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