The orthocentre of the triangle with vertices \[\left( 2,\,\frac{\sqrt{3}-1}{2} \right)\], \[\left( \frac{1}{2},\,-\frac{1}{2} \right)\] and \[\left( 2,\,-\frac{1}{2} \right)\] is [IIT 1993]

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

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

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

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

The orthocentre of the triangle with vertices \[\left( 2,\,\frac{\sqrt

1.	The orthocentre of the triangle with vertices \[\left( 2,\,\frac{\sqrt{3}-1}{2} \right)\], \[\left( \frac{1}{2},\,-\frac{1}{2} \right)\] and \[\left( 2,\,-\frac{1}{2} \right)\] is [IIT 1993]
A.	\[\left( \frac{3}{2},\,\frac{\sqrt{3}-3}{6} \right)\]
B.	\[\left( 2,\,-\frac{1}{2} \right)\]
C.	\[\left( \frac{5}{4},\,\frac{\sqrt{3}-2}{4} \right)\]
D.	\[\left( \frac{1}{2},\,-\frac{1}{2} \right)\]
Answer» C. \[\left( \frac{5}{4},\,\frac{\sqrt{3}-2}{4} \right)\]

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The orthocentre of the triangle with vertices \[\left( 2,\,\frac{\sqrt{3}-1}{2} \right)\], \[\left( \frac{1}{2},\,-\frac{1}{2} \right)\] and \[\left( 2,\,-\frac{1}{2} \right)\] is [IIT 1993]

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