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Let R be the set of real numbers. Stat...

Let R be the set of real numbers.
Statement 1:`A={(x,y) in R xx R : y-x` is an integer} is an equivalence relation on R.
Statement 2: `B= {x,y} in Rxx R : x=alpha y` for some rational number `alpha`} is an equivalence relation on R.

A

Statement -1 is true, Statement -2 is true and Statement -2 is correct explanation for Statement -1

B

Statement -1 is true, Statement -2 is true and Statement -2 is not correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false Statement -2 is true

Text Solution

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The correct Answer is:
B, C, D
NA
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