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If `A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2)` are the vertices of ` A B C ,` then as `alpha` varies, find the locus of its centroid.

A

`x^(2) + y^(2) - 2x - 4y + 1 = 0`

B

`3(x^(2) - y^(2)) -2x - 4y + 1 =0`

C

`x^(2) + y^(2) -2x - 4y + 3 = 0`

D

none of these

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The correct Answer is:
B
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