A variable line intersects the co-ordinate axes at A and B and passes through a fixed point `(a, b)`.then the locus of the vertex C of the rectangle `OACB` where O is the origin is

A variable plane intersects the co- ordinate axes at a distance p from O(0,0,0) .Then the locus of the centroid of the tetrahedron OABC is.....

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

A variable straight line passes through a fixed point (h,k). Find the locus of the foot of the perpendicular on it drawn from the origin.

A variable line through the point P(2,1) meets the axes at A and B .Find the locus of the centroid of triangle OAB (where O is the origin).

A variable straight line passes through a fixed point (a, b) intersecting the co-ordinates axes at A & B. If 'O' is the origin, then the locus of the centroid of the triangle OAB is (A) bx+ ay-3xy=0 (B) bx+ay-2xy=0 (C) ax+by-3xy=0 (D) ax+by-2xy=0.

A variable line through point P(2,1) meets the axes at A and B. Find the locus of the circumcenter of triangle OAB (where O is the origin.

A variable line passes through M (1, 2) and meets the co-ordinate axes at A and B, then locus of mid point of AB, is equal to