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A variable circule having fixed radius '...

A variable circule having fixed radius 'a' passes through origin and meets the co-ordinate axes in point A and B. Locus of centroid of triangle OAB where 'O' being the origin, is -

A

`9x^(2)+y^(2)=4a^(2)`

B

`9x^(2)+y^(2)=a^(2)`

C

`9x^(2)+y^(2)=2a^(2)`

D

`9x^(2)+y^(2)=8a^(2)`

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