Two points \[P(a,0)\] and \[Q(-a,0)\] are given, R is a variable point on one side of the line PQ such that \[\angle RPQ-\angle RQP\] is \[2\alpha \]. Then, the locus of R is

\[{{x}^{2}}+{{y}^{2}}+2xy\,\,\cot \,\,2\alpha -{{a}^{2}}=0\]

\[{{x}^{2}}-{{y}^{2}}+2xy\,\,\cot \,\,2\alpha -{{a}^{2}}=0\]

\[{{x}^{2}}+{{y}^{2}}+2xy\,\,\cot \,\,2\alpha +{{a}^{2}}=0\]

Two points \[P(a,0)\] and \[Q(-a,0)\] are given, R is a variable point

1.	Two points \[P(a,0)\] and \[Q(-a,0)\] are given, R is a variable point on one side of the line PQ such that \[\angle RPQ-\angle RQP\] is \[2\alpha \]. Then, the locus of R is
A.	\[{{x}^{2}}-{{y}^{2}}+2xy\,\,\cot \,\,2\alpha -{{a}^{2}}=0\]
B.	\[{{x}^{2}}+{{y}^{2}}+2xy\,\,\cot \,\,2\alpha -{{a}^{2}}=0\]
C.	\[{{x}^{2}}+{{y}^{2}}+2xy\,\,\cot \,\,2\alpha +{{a}^{2}}=0\]
D.	None of the above
Answer» B. \[{{x}^{2}}+{{y}^{2}}+2xy\,\,\cot \,\,2\alpha -{{a}^{2}}=0\]

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Two points \[P(a,0)\] and \[Q(-a,0)\] are given, R is a variable point on one side of the line PQ such that \[\angle RPQ-\angle RQP\] is \[2\alpha \]. Then, the locus of R is

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