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For real numbers x and y, we write xRy ⇔ x - y +√2 is an irrational number.

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

(A)  Reflexive 

(B)  Symmetric 

(C)  Transitive 

(D)  None of these

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Best answer

Correct option  (A) Reflexive

Explanation :

For any x ∈ R, we have x - x + √2 =  √2 an irrational number. Therefore, xRx for all x. So, R is reflexive.

R is not symmetric because √2R1

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