Let A(2 \sec \theta, 3 \tan \theta) and B(2 \sec \phi, 3 \tan \phi) where \theta+\phi=\frac{\pi}{2} be two points on the hyperbola \frac{x^2}{4}-\frac{y^2}{9}=1. If (\alpha, \beta) is the point of intersection of normals to the hyperbola at {\A} and {\B}, then \beta is equal to

WBJEE 2023 Math Solved Paper

Question : 45 of 75

Marks: +1, -0

Let A(2 secθ,3‌tan‌θ) and B(2 secφ,3‌tan‌φ) where θ+φ=‌

be two points on the hyperbola ‌

−‌

=1. If (α,β) is the point of intersection of normals to the hyperbola at A and B, then β is equal to

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