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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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