The locus of a point P which divides the line joining (1, 0) and \[(2\cos \theta ,2\sin \theta )\]internally in the ratio 2 : 3 for all \[\theta \], is a [IIT 1986]

The locus of a point P which divides the line joining (1, 0) and \[(2\

1.	The locus of a point P which divides the line joining (1, 0) and \[(2\cos \theta ,2\sin \theta )\]internally in the ratio 2 : 3 for all \[\theta \], is a [IIT 1986]
A.	Straight line
B.	Circle
C.	Pair of straight lines
D.	Parabola
Answer» C. Pair of straight lines

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The locus of a point P which divides the line joining (1, 0) and \[(2\cos \theta ,2\sin \theta )\]internally in the ratio 2 : 3 for all \[\theta \], is a [IIT 1986]

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