question_answer

The circumcentre of triangle whose vertices are\[\left( 2,\frac{\sqrt{3}-1}{2} \right),\left( \frac{1}{2},\frac{-1}{2} \right)\] and \[\left( 2,\frac{-1}{2} \right)\] is

A)  \[\left( 2,\frac{1}{2} \right)\]                              

B)  \[\left( \frac{3}{2},\frac{\sqrt{3}-3}{6} \right)\]

C)  \[\left( \frac{5}{4},\frac{\sqrt{3}-2}{4} \right)\]               

D)  \[\left( \frac{5}{4},\frac{-1}{2} \right)\]

Correct Answer: C

Solution :