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Locus of centroid of the triangle ...

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

A

`(1-3x)^(2) + 9y^(2) = a^(2) + b^(2)`

B

`(3x-1)^(2) + 9y^(2) = 2a^(2) + 2b^(2)`

C

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

D

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

Text Solution

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The correct Answer is:
A
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