Two fixed points are \[A(a,0)\]and\[B(-a,0)\]. If\[\angle A-\angle B=\theta \], then the locus of point C of triangle ABC will be [Roorkee 1982]

\[{{x}^{2}}+{{y}^{2}}+2xy\tan \theta ={{a}^{2}}\]

\[{{x}^{2}}-{{y}^{2}}+2xy\tan \theta ={{a}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}+2xy\cot \theta ={{a}^{2}}\]

\[{{x}^{2}}-{{y}^{2}}+2xy\cot \theta ={{a}^{2}}\]

Two fixed points are \[A(a,0)\]and\[B(-a,0)\]. If\[\angle A-\angle B=\

1.	Two fixed points are \[A(a,0)\]and\[B(-a,0)\]. If\[\angle A-\angle B=\theta \], then the locus of point C of triangle ABC will be [Roorkee 1982]
A.	\[{{x}^{2}}+{{y}^{2}}+2xy\tan \theta ={{a}^{2}}\]
B.	\[{{x}^{2}}-{{y}^{2}}+2xy\tan \theta ={{a}^{2}}\]
C.	\[{{x}^{2}}+{{y}^{2}}+2xy\cot \theta ={{a}^{2}}\]
D.	\[{{x}^{2}}-{{y}^{2}}+2xy\cot \theta ={{a}^{2}}\]
Answer» E.

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Two fixed points are \[A(a,0)\]and\[B(-a,0)\]. If\[\angle A-\angle B=\theta \], then the locus of point C of triangle ABC will be [Roorkee 1982]

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