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Q.

If the chords of contacts of the tangents from the pointsx1, y1 and x2, y2 to the hyperbola 2x2−3y2=6are at right angle, then 4x1x2+9y1y2 is equal to

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a

–1

b

0

c

6

d

–12

answer is B.

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Detailed Solution

Equation of the chords of contacts are2xx1−3yy1=6,2xx2−3yy2=6Since they are at right angles  2x13y1×2x23y2=−1⇒ 4x1x2+9y1y2=0.
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