JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002Define a relation R\mathrm{R}R on the interval [0,xy)\left[0, \frac{x}{y}\right)[0,yx) by xRyx \mathrm{R} yxRy if and only if sec2x−tan2y=1\sec^2 x - \tan^2 y = 1sec2x−tan2y=1. Then R\mathrm{R}R is:AOption A. both reflexive and transitive but not symmetricBOption B. an equivalence relationCOption C. reflexive but neither symmetric nor transitiveDOption D. both reflexive and symmetric but not transitiveCheckStep-by-step hintSkip · show solution
