jee-main 2017 Q70

jee-main · India · 02apr Conic sections Tangent and Normal Line Problems

A hyperbola passes through the point $P(\sqrt{2}, \sqrt{3})$ and has foci at $(\pm 2, 0)$. Then the tangent to this hyperbola at $P$ also passes through the point
(1) $(3\sqrt{2}, 2\sqrt{3})$
(2) $(2\sqrt{2}, 3\sqrt{3})$
(3) $(\sqrt{3}, \sqrt{2})$
(4) $(-\sqrt{2}, -\sqrt{3})$

A hyperbola passes through the point $P(\sqrt{2}, \sqrt{3})$ and has foci at $(\pm 2, 0)$. Then the tangent to this hyperbola at $P$ also passes through the point\\
(1) $(3\sqrt{2}, 2\sqrt{3})$\\
(2) $(2\sqrt{2}, 3\sqrt{3})$\\
(3) $(\sqrt{3}, \sqrt{2})$\\
(4) $(-\sqrt{2}, -\sqrt{3})$

Paper Questions

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