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The condition that the line lx + my + n=...

The condition that the line `lx + my + n= 0` to be a normal to the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2))= 1` is

A

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

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

Text Solution

Verified by Experts

The correct Answer is:
B
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