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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

`(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:
C
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