jee-main 2025 Q70

jee-main · India · session2_02apr_shift2 Not Maths
Q70. Let a relation R on $\mathrm { N } \times N$ 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) R is reflexive but not symmetric. (II) $R$ is transitive Then which one of the following is true?
(1) Both (I) and (II) are correct.
(2) Only (II) is correct.
(3) Neither (I) nor (II) is correct.
(4) Only (I) is correct.
Q70. Let a relation R on $\mathrm { N } \times N$ 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) R is reflexive but not symmetric. (II) $R$ is transitive Then which one of the following is true?\\
(1) Both (I) and (II) are correct.\\
(2) Only (II) is correct.\\
(3) Neither (I) nor (II) is correct.\\
(4) Only (I) is correct.