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If a circle of constant radius \( 3 \mathrm{k} \) passes through the origin \( \mathrm{O} \) and meets co-ordinate axes at \( \mathrm{A} \) and \( \mathrm{B} \)
P then the locus of the centroid of the triangle \( \mathrm{OAB} \) is -
(A) \( x^{2}+y^{2}=(2 k)^{2} \)
(B) \( x^{2}+y^{2}=(3 k)^{2} \)
(C) \( x^{2}+y^{2}=(4 k)^{2} \)
(D) \( x^{2}+y^{2}=(6 k)^{2} \)
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