A) 0
B) 1
C) ?1
D) None of these
Correct Answer: B
Solution :
The tangent at \[(a\cos \theta ,\,b\sin \theta )\]to the ellipse is \[\frac{(a\cos \theta )x}{{{a}^{2}}}+\frac{(b\sin \theta )y}{{{b}^{2}}}=1\] or \[\frac{x}{(a/\cos \theta )}+\frac{y}{(b/\sin \theta )}=1\] \[\therefore \]Intercepts are, \[h=\frac{a}{\cos \theta },\,\,k=\frac{b}{\sin \theta }\]Þ\[\frac{{{a}^{2}}}{{{h}^{2}}}+\frac{{{b}^{2}}}{{{k}^{2}}}=1\].
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