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

A circle of radius 'r' passes through the origin O and cuts the axes at A and B, Locus of the centroid of triangle OAB is

A sphere of radius 1 unit passes through O and cuts axis in P,Q,R then locus C of centroid of Delta PQR is

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 :

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)

A variable circle having fixed radius 'a' passes through origin and meets the co-ordinate axes in point A and B. Locus of centroid of triangle OAB where 'O' being the origin, is -

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

A circle of constant radius 5 units passes through the origin O and cuts the axes at A and B. Then the locus of the foot of the perpendicular from O to AB is (x^(2)+y^(2))^(2)(x^(-1)+y^(-2))=k then k=

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