A hyperbola passes through the point and has foci at

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

Problem

A hyperbola passes through the point P(2,3)P(\sqrt{2}, \sqrt{3}) and has foci at (±2,0)(\pm 2, 0). Then the tangent to this hyperbola at PP passes through which point? (1) (−2,−3)(-\sqrt{2}, -\sqrt{3}) (2) (32,23)(3\sqrt{2}, 2\sqrt{3}) (3) (22,33)(2\sqrt{2}, 3\sqrt{3}) (4) (3,2)(\sqrt{3}, \sqrt{2})

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