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?
JEE · Math · previous-year question
- 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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