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

If `A(cos alpha, sin alpha), B(sin alpha, -cos alpha), C(1,2)` are the vertices of a triangle, then as `alpha` varies the locus of centroid of the `DeltaABC` is a circle whose radius is :

A

`x^2 + y^2 – 2x – 4y+3=0`

B

`x^2+y^2 – 2x–4y+1 = 0`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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