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For real numbers x and y, we write is an irrational number. Then the relation R is
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By Expert Faculty of Sri Chaitanya
a
Reflexive
b
Symmetric
c
Transitive
d
None of these
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Correct option is A
For any x∈R, we have x-x+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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Let R be a reflexive relation on a finite set A having elements, and let there be m ordered pairs in R. Then
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