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If a circle of constant radius `3k` passes through the origin `O` and meets the coordinate axes at `Aa n dB` , then the locus of the centroud of triangle `O A B` is `x^2+y^2=(2k)^2` `x^2+y^2=(3k)^2` `x^2+y^2=(4k)^2` (d) `x^2+y^2=(6k)^2`

A

`x^(2) +y^(2)=k^(2)`

B

`x^(2) +y^(2) =2k^(2)`

C

`x^(2) +y^(2) =3k^(2)`

D

`x^(2) +y^(2) =4k^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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