Q100 / 155 · WBJEE 2024 · Mathematics

For the real numbers $x \& y$, we write $x p$ y if $x-y+\sqrt{2}$ is an irrational number. Then relation $p$ is

Correct answer
A
reflexive
B
symmetric
C
transitive
D
equivalence relation

Solution

Hint : $\mathrm{xpx}=\mathrm{x}-\mathrm{x}+\sqrt{2}=\sqrt{2}$ is an irrational

Hence, the correct answer is option: 'A'.

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