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N is the set of natural numbers. The rel...

N is the set of natural numbers. The relation R is defined on `NxxN` as follows
`(a,b)R(c,d)iffa+d=b+c`
Prove that R is an equivalence relation.

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for statement-1.

B

Statement-1 is True, Statement-2 is true, Statement-2 is not a 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

Verified by Experts

The correct Answer is:
B
See Author's class XII text book.
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