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The orthocentre of the triangle with vertices $(2, \frac{\sqrt{3} - 1}{2}), (\frac{1}{2}, - \frac{1}{2})$ and $(2, - \frac{1}{2})$ , is

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32, 3−36

2,−12

54, (3−2)4

12, −12

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detailed solution

Correct option is B

Here, the given triangle is a right angled triangle at the vertex 2,−12. Hence, the orthocentre is at 2,−12.

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The orthocentre of the triangle with vertices 2,3−12, 12,−12 and 2,−12, is

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The orthocentre of the triangle with vertices $(2, \frac{\sqrt{3} - 1}{2}), (\frac{1}{2}, - \frac{1}{2})$ and $(2, - \frac{1}{2})$ , is