Let a relation R on N x N be | Relation | JEE Main 2024

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JEE Main 2024

04-04-2024 S2

Question

Let a relation R on $\mathbb{N} \times \mathbb{N}$ be defined as : $\left(x_1, y_1\right) R\left(x_2, y_2\right)$ if and only if $x_1 \leq x_2$ or $y_1 \leq y_2$
Consider the two statements :
(I) $R$ is reflexive but not symmetric.
(II) R is transitive

Then which one of the following is true?

Select the correct option:

A

Only (II) is correct.

B

Only (I) is correct.

C

Both (I) and (II) are correct.

D

Neither (I) nor (II) is correct.

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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