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Locus of centroid of the triangle whose ...

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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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