The straight line will touch the hyperbola if:

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

Problem

The straight line x+y=2px+y=\sqrt{2}p will touch the hyperbola 4x2−9y2=364x^2-9y^2=36 if: (1) p2=2p^2=2 (2) p2=5p^2=5 (3) 5p2=25p^2=2 (4) 2p2=52p^2=5

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