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If A(0,0),B(1,0) and C((1)/(2),(sqrt3)/(...

If `A(0,0),B(1,0)` and `C((1)/(2),(sqrt3)/(2))` are verticles of a triangle then the centre of the circle for which the lines AB.BC and CA are tangents is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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