If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at A and B, then the locus of the centroid of triangle OAB is

\[{{x}^{2}}+{{y}^{2}}={{(3k)}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{(2k)}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{(4k)}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{(6k)}^{2}}\]

If a circle of constant radius 3k passes through the origin O and meet

1.	If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at A and B, then the locus of the centroid of triangle OAB is
A.	\[{{x}^{2}}+{{y}^{2}}={{(2k)}^{2}}\]
B.	\[{{x}^{2}}+{{y}^{2}}={{(3k)}^{2}}\]
C.	\[{{x}^{2}}+{{y}^{2}}={{(4k)}^{2}}\]
D.	\[{{x}^{2}}+{{y}^{2}}={{(6k)}^{2}}\]
Answer» B. \[{{x}^{2}}+{{y}^{2}}={{(3k)}^{2}}\]

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If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at A and B, then the locus of the centroid of triangle OAB is

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