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The product of the perpendicular from an...

The product of the perpendicular from any poitn P(x,y) on the hyperbola `x^2/a^2 - y^2/b^2 = 1` to its asymptotes is

A

`(a b)/(sqrt(a)+sqrt(b))`

B

`(a b)/(a^(2)+b^(2))`

C

`(a^(2) b^(2))/(a^(2)+b^(2))`

D

`(a^(2)+b^(2))/(a^(2) b^(2))`

Text Solution

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The correct Answer is:
C
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