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Locus of the centroid of a triangle whos...

Locus of the centroid of a triangle whose vertices are `(a cos t, a sint), (bsin t,-b cos t)` and (1,0) where t is parameter is :

A

`(3x-1)^(2)+(3y)^(2)=a^(2)-b^(2)`

B

`(3x-1)^(2)+(3y)^(2)=a^(2)+b^(2)`

C

`(3x+1)^(2)+(3y)^(2)=a^(2)+b^(2)`

D

`(3x+1)^(2)+(3y)^(2)=a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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