Determine the points in YZ-plane which is equidistant from the three points A(2,0,3),B(0,3,2) and C(0,0,1).

Find the point in the XY-plane which is equidistant from the points (2,0,3),(0,3,2) and (0,0,1).

Find the point which is equidistant from the points (1,0,0), (0,2,0),(0,0,3) and (0,0,0).

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the locus of a point, which is equidistant from the points (-1, 2, 3) and (3, 2, 1).

Find the co-ordinates of the point, which is equidistant from four points (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c).

Find the point which is equidistant from the points (a,0,0),(0,b,0),(0,0,c) and (0,0,0),a,b and c being non-zero reals.

Find the coordinates of a point on the z-axis which is equidistant from point A(3,2,1) and B(5,2,5).

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3, 2, -1).

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, - 1).

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.