1.

Find the product of lengths of the perpendiculars from any point on the hyperbola x2/16 - y2/9 = 1 to its asymptotes. 

Answer»

Equation of the hyperbola is x2/16 – y2/9 = 1 

a2 = 16, b2 = 9 

Product of the perpendiculars from any point as the hyperbola to its asymptotes

= a2 b2/a2 + b2 = 16 x 9/16 + 9 = 144/25 



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