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The area of the triangle formed by the tangent at any point on the rectangular hyperbola $xy=72$ and its asymptotes is

\[\begin{array}{1 1}(1)36&(2)18\\(3)72&(4)144\end{array}\]

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The equation of the given rectangular hyperbola is $xy=72$
Required area $= 2c^2 =144$
Hence 4 is the correct answer
answered May 16, 2014 by meena.p
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