For real numbers x and y, we write
\( \Large x R y \Leftrightarrow x^{2}-y^{2}+\sqrt{3} \)
is an irrational number. Then the relation R is:


A) reflexive

B) symmetric

C) transitive

D) none of these

Correct Answer:
A) reflexive

Description for Correct answer:
Given that \( \Large x\ R\ y = x - y + \sqrt{2} \)

Now \( \Large x\ R\ x = x - x + \sqrt{2} \)

= \( \Large \sqrt{2} \) Which is an irratio

Therefore, The relation R is reflexive.

Part of solved Set theory questions and answers : >> Elementary Mathematics >> Set theory








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