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

# For real numbers x and y, we write  is an irrational number. Then, the relation R is

1. A

reflexive

2. B

symmetric

3. C

transitive

4. D

None of these

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### Solution:

is an irrational number.
Let $\left(\mathrm{x},\mathrm{x}\right)\in \mathrm{R}.$
Then, $\mathrm{x}-\mathrm{x}+\sqrt{2}=\sqrt{2}$ which is an  irrational number.

$\therefore$R is reflexive .

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