🛠️ JEE➗ Maths

Define a relation R on the interval \(\left[0,\frac{\pi }{2}\right)\text{ by x R y }\)if and only if \({\sec }^{2}x-{\ta…

Q1

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

[JEE Main 2025, 29 Jan (Shift 1)]

a

an equivalence relation

b

both reflexive and transitive but not symmetric

c

both reflexive and symmetric but not transitive

d

reflexive but neither symmetric not transitive

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