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Statement I: For any two real numbers and , we define if . Then, R is transitive. Statement II: The…

Mathematics20251 markMCQ
Statement I: For any two real numbers $a$ and $b$, we define $a\text{ R }b$ if $\sec^2 a - \tan^2 b = 1$. Then, R is transitive. Statement II: The relation R on the set $\{2, 3, 4\}$ defined by $\text{R} = \{(2, 2)\}$ is not symmetric. Which of the following options is correct?
  • (a)Both the statements are true.
  • (b)Both the statements are false.
  • (c)Statement I is true, and Statement II is false.
  • (d)Statement I is false, and Statement II is true.

Answer

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Relations and Functions

From ISC 2025 Practice Mathematics, question 28.