If A(cos alpha,sin alpha,0), B(cos beta,...

If `A(cos alpha,sin alpha,0), B(cos beta,sin beta,0),C(cos gamma,sin gamma,0)` are vertices of `DeltaABC` and let `cos alpha+cos beta+cos gamma=3a,sin alpha+sin beta+sin gamma=3b`, then find
i) Circumcentre ii) Centroid iii) Orthocentre

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The correct Answer is:

(i) (0, 0, 0) (ii) (a,b,0) (iii) (3a,3b,0)

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