AP EAMCET · Maths · Hyperbola
The asymptotes of the hyperbola , with any tangent to the hyperbola form a triangle whose area is . Then its eccentricity equals
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Answer & Solution
Correct Answer
(A)
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Detailed explanation
Given hyperbola x2a2-y2b2=1 Asymptotes of hyperbola are xa+yb=0...I , xa-yb=0...II Tangent at x1, y1 is xx1a2-yy1b2=1....III We know that area formed by a triangle with asymptotes and any tangent is equal to ab. ⇒ab = a2 tan α…
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