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Locus of centroid of the triangle whose ...

Locus of centroid of the triangle whose vertices are `(acost ,asint),(bsint-bcost)a n d(1,0),` where `t` is a parameter is: `(3x-1)^2+(3y)^2=a^2-b^2` `(3x-1)^2+(3y)^2=a^2+b^2` `(3x+1)^2+(3y)^2=a^2+b^2` `(3x+1)^2+(3y)^2=a^2-b^2`

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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