Relations JEE Main Solution | Trigonometric Relation Type

JEE MAIN 2025

29-01-2025 SHIFT-1

Question

Define a relation R on the interval $\left[ {0,\frac{\pi }{2}} \right)$ by if and only if ${\sec ^2}x - {\tan ^2}y = 1$. Then R is :

Select the correct option:

both reflexive and transitive but not symmetric

both reflexive and symmetric but not transitive

an equivalence relation

reflexive but neither symmetric not transitive

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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