The product of lengths of perpendicular from any point on the hyperbola x^2-y^2=16 to its asymptotes, is

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Accepted Answer

Correct answer: C. (c) Since, product of lengths of perpendiculars from any point on the hyperbola x^2a^2- y^2b^2 is a^2b^2a^2+b^2. Hence, equation of hyperbola, x^2-y^2=16 is written as x^2 (4 )^2- y^2 (4 )^2=1 where a=4 and b=4. So, a^2b^2a^2+b^2= 16 1616+16= 16 162 16=8.

$The product of lengths of perpendicular from any point on the hyperbola x^{2} - y^{2} = 16 to its asymptotes, is$

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