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The product of the perpendicular distances from any point on the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ to its asymptotes is :

\[\begin {array} {1 1} (1)\;\frac{a^2b^2}{a^2-b^2} & \quad (2)\;\frac{a^2b^2}{a^2+b^2} \\ (3)\;\frac{a^2+b^2}{a^2b^2} & \quad (4)\;\frac{a^2-b^2}{a^2b^2} \end {array}\]

1 Answer

$(2)\;\frac{a^2b^2}{a^2+b^2}$
answered Nov 7, 2013 by pady_1
 

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