Mathematics · 2024
JEE Main · 4 April 2024, Shift 2 · Q1
Let a relation R on N × N be defined as: (x_1, y_1) R (x_2, y_2) if and only if x_1 ≤ x_2 or y_1 ≤ y_2. Consider the two statements: (I) R is…
Let a relation $\displaystyle R$ on $\displaystyle N \times N$ be defined as:
$\displaystyle \left(x_1, y_1\right) \mathrm{R}\left(x_2, y_2\right)$ if and only if $\displaystyle x_1 \leq x_2$ or $\displaystyle y_1 \leq y_2$.
Consider the two statements:
(I)
R is reflexive but not symmetric.
(II)
R is transitive
Then which one of the following is true?
Official answer
From NTA’s final answer key for this paper.
(1)
Only (I) is correct.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.