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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))^(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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