A sphere of constant radius `k ,` passes through the origin and meets the axes at `A ,Ba n d Cdot` Prove that the centroid of triangle `A B C` lies on the sphere `9(x^2+y^2+z^2)=4k^2dot`

If a sphere of constant radius k passes through the origin and meets the axis in A,B,C then the centroid of the triangle ABC lies on :

A circle of constant radius 2r passes through the origin and meets the axes in 'P' and 'Q' Locus of the centroid of the trianglePOQ is :

If a circle of constant radius 3c passes through the origin and meets the axes at AandB prove that the locus of the centroid of /_ABC is a circle of radius 2c

A sphere of constant radius r through the origin intersects the coordinate axes in A, B and C What is the locus of the centroid of the triangle ABC?

A sphere of constant radius 2k passes through the origin and meets the axes in A,B, and C . The locus of a centroid of the tetrahedron OABC is a.x^(2)+y^(2)+z^(2)=4k^(2)bx^(2)+y^(2)+z^(2)=k^(2) c.2(k^(2)+y^(2)+z)^(2)=k^(2)d none of these

If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at AandB,then the locus of the centroud 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)

circle of radius 3k passes through (0,0) and cuts the axes in A and B then the locus of centroid of triangle OAB is