1.

The locus of the poles of normal chords of an ellipse is given by  [UPSEAT 2001]

A.            \[\frac{{{a}^{6}}}{{{x}^{2}}}+\frac{{{b}^{6}}}{{{y}^{2}}}={{({{a}^{2}}-{{b}^{2}})}^{2}}\]            
B.            \[\frac{{{a}^{3}}}{{{x}^{2}}}+\frac{{{b}^{3}}}{{{y}^{2}}}={{({{a}^{2}}-{{b}^{2}})}^{2}}\]
C.            \[\frac{{{a}^{6}}}{{{x}^{2}}}+\frac{{{b}^{6}}}{{{y}^{2}}}={{({{a}^{2}}+{{b}^{2}})}^{2}}\]           
D.            \[\frac{{{a}^{3}}}{{{x}^{2}}}+\frac{{{b}^{3}}}{{{y}^{2}}}={{({{a}^{2}}+{{b}^{2}})}^{2}}\]
Answer» B.            \[\frac{{{a}^{3}}}{{{x}^{2}}}+\frac{{{b}^{3}}}{{{y}^{2}}}={{({{a}^{2}}-{{b}^{2}})}^{2}}\]


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