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 [MP PET 1993, 94]

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

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

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

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

The condition that the straight line \[lx+my=n\] may be a normal to th

1.	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 [MP PET 1993, 94]
A.	\[\frac{{{a}^{2}}}{{{l}^{2}}}-\frac{{{b}^{2}}}{{{m}^{2}}}=\frac{{{({{a}^{2}}+{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
B.	\[\frac{{{l}^{2}}}{{{a}^{2}}}-\frac{{{m}^{2}}}{{{b}^{2}}}=\frac{{{({{a}^{2}}+{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
C.	\[\frac{{{a}^{2}}}{{{l}^{2}}}+\frac{{{b}^{2}}}{{{m}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
D.	\[\frac{{{l}^{2}}}{{{a}^{2}}}+\frac{{{m}^{2}}}{{{b}^{2}}}=\frac{{{({{a}^{2}}-{{b}^{2}})}^{2}}}{{{n}^{2}}}\]
Answer» B. \[\frac{{{l}^{2}}}{{{a}^{2}}}-\frac{{{m}^{2}}}{{{b}^{2}}}=\frac{{{({{a}^{2}}+{{b}^{2}})}^{2}}}{{{n}^{2}}}\]

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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 [MP PET 1993, 94]

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