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If P(0,0,)Q(1,0)andR((1)/(2),(sqrt3)/(2)...

If `P(0,0,)Q(1,0)andR((1)/(2),(sqrt3)/(2))` are three given points, then the centre of the circle for which the lines `PQ,QR` and RP are the tangents is

A

`((1)/(2),(1)/(4))`

B

`((1)/(2),(sqrt3)/(4))`

C

`((1)/(2),(1)/(2sqrt3))`

D

`((1)/(2),(-1)/(sqrt3))`

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