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If the l x+ my=1 is a normal to the hype...

If the `l x+ my=1` is a normal to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, then shown that `(a^(2))/(l^(2))-(b^(2))/(m^(2))=(a^(2)+b^(2))^(2)`

A

`a^(2)-b^(2)`

B

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

C

`(a^(2)-b^(2))`

D

`(a^(2)-b^(2))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HYPERBOLA-Exercise -II
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  13. If 2x^(2)+5xy+2y^(2)-11x-7y+K=0 is the pair of asymptotes of the hyper...

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  14. The line x+y+1=0 is an asymptote of x^(2)-y^(2)+x-y-2=0. The other asy...

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