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The line l x+m y+n=0 is a normal to t...

The line `l x+m y+n=0` is a normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` . then prove that `(a^2)/(l^2)+(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)`

A

`(a^2)/(m^2)+(b^2)/(l^2)=(a^2-b^2)/(n^2)`

B

`(a^2)/(l^2)+(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)`

C

`(a^2)/(l^2)-(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)`

D

None of these

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The correct Answer is:
B
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