If A(cosα,sinα),B(cosβ,sinβ),C(cosγ,sinγ) are the vertices of △ABC and H,G,S are the orthocentre, centroid and circumcentre of △ABC respectively, then which of the following is/are true?
A
S≡(∑cosα,∑sinα)
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B
G≡(∑cosα,∑sinα)
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C
H≡(∑cosα,∑sinα)
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D
S≡(0,0)
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Solution
The correct option is DS≡(0,0) OA=OB=OC=1 (O is origin) ∴ Circumcentre, S≡(0,0)