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Prove that the locus of the centroid of ...

Prove that the locus of the centroid of the triangle whose vertices are `(acost ,asint),(bsint ,-bcost),` and `(1,0)` , where `t` is a parameter, is circle.

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

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The correct Answer is:
B
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