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if P = (0,0), Q = (1,0) and R = (1/2,sqr...

if `P = (0,0), Q = (1,0)` and `R = (1/2,sqrt3/2),` then the centre of the circle for which the lines `PO,QR` and `RP` are tangents is

A

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

B

`((1)/(2),(sqrt(3))/(4))`

C

`((1)/(2),(sqrt1)/(2sqrt(3)))`

D

`((1)/(2),(-1)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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