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If a circle of constant radius 3k passes...

If a circle of constant radius `3k` passes through the origin and meets the axes at `Aa n dB` , prove that the locus of the centroid of ` triangle OA B ` is a circle of radius `2cdot`

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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