Find the locus of midpoints of radii of a circle.
Concentric circle with half radius.
Circle with radius OA.
Circle with radius 2OA.
None of these
So, locus is a concentric circle with half the radius at O. Here OA is the radius of the bigger circle and OM is the radius of the smaller circle.
AB is a fixed line. State the locus of the point P so that AB2= AP2+ BP2