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Sets and Relations question

2025 · 29 Jan · Shift 1 · Q43

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JEE Main
Mathematics
Sets and Relations
2025 · 29 Jan · Shift 1 · Q43

Sets and Relations question

2025 · 29 Jan · Shift 1 · Q43

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Define a relation R on the interval

\left[0, \frac{\pi}{2}\right)

by

x

R

y

if and only if

\sec^2x - \tan^2y = 1

. Then R is :

A
both reflexive and symmetric but not transitive
B
both reflexive and transitive but not symmetric
C
reflexive but neither symmetric not transitive
D
an equivalence relation

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