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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) + kx + ky =0`

B

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

C

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

D

`x ^(2) + y ^(2) + 2kx - 2ky + k^(2) =0`

Text Solution

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The correct Answer is:
B
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