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Q.

If chords of contact of the tangent from two points x1, y1 and x2, y2 to the ellipse x2a2+y2b2=1 are at right angles, then x1x2a2×y1y2b2 is equal to

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a

a2b2

b

−b2a2

c

−a4b4

d

b4a4

answer is C.

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Detailed Solution

Chords of contacts are xx1a2+yy1b2=1 and xx2a2+yy2b2=1Since they are at right angles−b2a2×x2y2×−b2a2×x1y1=−1⇒x1x2y1y2=−a4b4
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