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Lines L(1) & L(2) are rotating in an ant...

Lines `L_(1) & L_(2)` are rotating in an anticlockwise direction about the points `A(-2,) and B(2,0)` respectively in such a way that the speed of angle of rotation of line `L_(2)` is double as that of `L_(1)`. Initially equations of both lines are y = 0. If the angle of rotation of line `L_(2)` varies between 0 to `(pi)/(2)`, then the locus of point of intersection P of lines `L_(1) & L_(2)` is part of a circle whose radius is equal to

A

2 units

B

4 units

C

6 units

D

8 units

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The correct Answer is:
B
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