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Sets and Relations question

2024 · 4 Apr · Shift 2 · Q48

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2024 · 4 Apr · Shift 2 · Q48

Sets and Relations question

2024 · 4 Apr · Shift 2 · Q48

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let a relation

\mathrm{R}

on

\mathrm{N} \times \mathbb{N}

be defined as:

\left(x_1, y_1\right) \mathrm{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)

\mathrm{R}

is reflexive but not symmetric. (II)

\mathrm{R}

is transitive Then which one of the following is true?

A
Only (II) is correct.
B
Both (I) and (II) are correct.
C
Neither (I) nor (II) is correct.
D
Only (I) is correct.

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