The line \[lx+my+n=0\] will be a tangent to the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [MP PET 2001]

\[a{{m}^{2}}-{{b}^{2}}{{n}^{2}}={{a}^{2}}{{l}^{2}}\]

\[{{a}^{2}}{{l}^{2}}+{{b}^{2}}{{m}^{2}}={{n}^{2}}\]

\[{{a}^{2}}{{l}^{2}}-{{b}^{2}}{{m}^{2}}={{n}^{2}}\]

The line \[lx+my+n=0\] will be a tangent to the hyperbola \[\frac{{{x}

1.	The line \[lx+my+n=0\] will be a tangent to the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [MP PET 2001]
A.	\[{{a}^{2}}{{l}^{2}}+{{b}^{2}}{{m}^{2}}={{n}^{2}}\]
B.	\[{{a}^{2}}{{l}^{2}}-{{b}^{2}}{{m}^{2}}={{n}^{2}}\]
C.	\[a{{m}^{2}}-{{b}^{2}}{{n}^{2}}={{a}^{2}}{{l}^{2}}\]
D.	None of these
Answer» C. \[a{{m}^{2}}-{{b}^{2}}{{n}^{2}}={{a}^{2}}{{l}^{2}}\]

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The line \[lx+my+n=0\] will be a tangent to the hyperbola \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\], if [MP PET 2001]

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