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The condition that the line \( l x+m y=n \) may be a
\( \mathrm{P}^{144 x} \) normal to the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) is

W
(1) \( \frac{n^{2}}{\left(a^{2}-b^{2}\right)^{2}}\left(\frac{a^{2}}{l^{2}}+\frac{b^{2}}{m^{2}}\right)=1 \)
(2) \( \frac{n^{2}}{\left(a^{2}+b^{2}\right)^{2}}\left(\frac{a^{2}}{l^{2}}+\frac{b^{2}}{m^{2}}\right)=1 \)
(3) \( \frac{n^{2}}{\left(a^{2}-b^{2}\right)^{2}}\left(\frac{a^{2}}{l^{2}}+\frac{b^{2}}{m^{2}}\right)=2 \)
(4) None of these
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