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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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Knowledge Check

  • Let P = (-1,0), Q = (0,0) and R = (3, 3sqrt(3)) be three point. The equation of the bisector of the angle PQR is:

    A
    `sqrt(3)/2 x + y=0`
    B
    `x + sqrt(3)y =0`
    C
    `sqrt(3)x + y =0`
    D
    `x + sqrt(3)/2 y = 0`

  • If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then anglePRQ is

    A
    `pi/4`
    B
    `pi/2`
    C
    `pi/3`
    D
    `pi/6`

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