The angle between the asymptotes of is equal to

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

Problem

The angle between the asymptotes of x24−y29=1\frac{x^2}{4}-\frac{y^2}{9}=1 is equal to (1) tan⁡−1(23)\tan^{-1}\left(\frac{2}{3}\right) (2) tan⁡−1(32)\tan^{-1}\left(\frac{3}{2}\right) (3) 2tan⁡−1(23)2\tan^{-1}\left(\frac{2}{3}\right) (4) 2tan⁡−1(32)2\tan^{-1}\left(\frac{3}{2}\right)

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