The line, $ lx + my + n = 0$ will cut the ellipse $\frac{{{x^2}}}{{{a^2}}}$ $+$ $\frac{{{y^2}}}{{{b^2}}}$ $= 1 $ in points whose eccentric angles differ by $\pi /2$ if :
The line, $ lx + my + n = 0$ will cut the ellipse $\frac{{{x^2}}}{{{a^2}}}$ $+$ $\frac{{{y^2}}}{{{b^2}}}$ $= 1 $ in points whose eccentric angles differ by $\pi /2$ if :
- A
$a^2l^2 + b^2n^2 = 2 m^2$
- B
$a^2m^2 + b^2l^2 = 2 n^2$
- C
$a^2l^2 + b^2m^2 = 2 n^2$
- D
$a^2n^2 + b^2m^2 = 2 l^2$
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