The condition that the straight line $lx+my=n$ may be a normal to the hyperbola ${{b}^{2}}{{x}^{2}}-{{a}^{2}}{{y}^{2}}={{a}^{2}}{{b}^{2}}$ is given by

Question

Accepted Answer

$\frac{{{a}^{2}}}{{{l}^{2}}}-\frac{{{b}^{2}}}{{{m}^{2}}}=\frac{{{({{a}^{2}}+{{b}^{2}})}^{2}}}{{{n}^{2}}}$

Answer

$\frac{{{l}^{2}}}{{{a}^{2}}}-\frac{{{m}^{2}}}{{{b}^{2}}}=\frac{{{({{a}^{2}}+{{b}^{2}})}^{2}}}{{{n}^{2}}}$

Answer

$\frac{{{a}^{2}}}{{{l}^{2}}}+\frac{{{b}^{2}}}{{{m}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}$

Answer

$\frac{{{l}^{2}}}{{{a}^{2}}}+\frac{{{m}^{2}}}{{{b}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}$

conic-section

Question: The condition that the straight line $lx+my=n$ may be a normal to the hyperbola ${{b}^{2}}{{x}^{2}}-{{a}^{2}}{{y}^{2}}={{a}^{2}}{{b}^{2}}$ is given by

conic-section

Question: The condition that the straight line $lx+my=n$ may be a normal to the hyperbola ${{b}^{2}}{{x}^{2}}-{{a}^{2}}{{y}^{2}}={{a}^{2}}{{b}^{2}}$ is given by

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