The line \( \ell \mathrm{x}+\mathrm{my}+\mathrm{n}=0 \) will be a normal to the hyperbola \( \fr...

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The line \( \ell \mathrm{x}+\mathrm{my}+\mathrm{n}=0 \) will be a normal to the hyperbola \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}-\frac{\mathrm{y}^{2}}{\mathrm{~b}^{2}}=1 \), if
\( \mathrm{P} \)
(A) \( \frac{a^{2}}{\ell^{2}}+\frac{b^{2}}{m^{2}}=\left(\frac{a^{2}+b^{2}}{b}\right)^{2} \)
(B) \( \frac{a^{2}}{\ell^{2}}-\frac{b^{2}}{m^{2}}=\left(\frac{a^{2}+b^{2}}{b}\right)^{2} \)
(C) \( \frac{a^{2}}{\ell^{2}}+\frac{b^{2}}{m^{2}}=\left(\frac{a^{2}+b^{2}}{n}\right)^{2} \)
(D) \( \frac{a^{2}}{\ell^{2}}-\frac{b^{2}}{m^{2}}=\left(\frac{a^{2}+b^{2}}{n}\right)^{2} \)
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