The asymptote of the hyperbola form with any tangent to the hyperbola a triangle…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The asymptote of the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 form with any tangent to the hyperbola a triangle whose area is a2tan⁡λa^2 \tan \lambda in magnitude, then its eccentricity is (1) sec⁡λ\sec \lambda (2) csc⁡λ\csc \lambda (3) sec⁡2λ\sec^2 \lambda (4) csc⁡2λ\csc^2 \lambda

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