Circles are drawn passing through the origin O to intersect the coordinate axes at point P and Q such that `m .OP + n .OQ = k`, then the fixed point satisfying all of them, is given by

A circle passes through the origin O and intersects the coordinate axes at A and B. If the length of diameter of the circle be 3k unit, then find the locus of the centroid of the triangle OAB.

A variable line passing through a fixed point (alpha,beta) intersects the coordinate axes at A and B. If O is the origin, then the locus of the centroid of the DeltaOAB is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q.If O is the origin and the rectangle OPRQ is completed then the locus of R is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of R is

Let (h,k) be a fixed point,where h>0,k>0. A straight line passing through this point cuts the positive direction of the coordinate axes at the point P and Q. Find the minimum area of triangle OPQ,O being the origin.