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Question

For real numbers x and y, we write xRyxy+2 is an irrational number. Then the relation R is

A

Reflexive

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B

Symmetric

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C

Transitive

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D

None of these

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Solution

The correct option is A

Reflexive


For any xR we have xx+2=2 an irrational number.
xRx for all x. So, R is reflexive.
R is not symmetric, because 2R1 but 1R2,R is not transitive also because 2R1 and 1R22 but 2R22.

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