Find the locus of a point, so that the join of (-5, 1) and (3, 2) subtends a right angle at the moving point.

Find the slope of a line joining the given points (-6,1) and (-3,2)

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

The locus of a point which is equidistant from the points (1, 1) and (3, 3) is

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the equation of the locus of the point P such that the line segment AB, joining the points A(1, -6) and B(4, -2), subtends a right angle at P.

Show that the diameter of a sphere subtends a right angle at a point on the circumference.

The ratio of the distances of a moving point from the points (3,4) and (1,-2) is 2:3 , find the locus of the moving point.