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Question

If a relation R defined on set of real numbers as xRyxy+2 is an irrational number. Then the relation R is

A
a reflexive relation
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B
a symmetric relation
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C
a transitive relation
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D
both reflexive and transitive relation
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Solution

The correct option is A a reflexive relation
xRyxy+2 is irrational ,x,yR
(i)R is reflexive relation asxx+2=2 is irrational x R x

(ii)R is not symmetric relation as(2,1)R but (1,2)R

(iii)R is not transitive relation as (2,1) and (1,22)R but (2,22)R

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