The locus of a point equidistant from three collinear points is

The locus of point equidistant from three fixed points is a single point. The three points are________

The locus of a point equidistant from the points does not exists. This implies that the three points are _____

The locus of a point, equidistant from the coordinate axes is _______

Statement-1: The locus of point z satisfying |(3z+i)/(2z+3+4i)|=3/2 is a straight line. Statement-2 : The locus of a point equidistant from two fixed points is a straight line representing the perpendicular bisector of the segment joining the given points.

The locus of a point equidistant from two intersecting lines is

Show that the locus of a point, equidistant from the endpoints of a line segment, is the perpendicular bisector of the segment

The locus of a point equidistant from two points with position vectors vec a and vec b is

Prove that the locus of the point equidistant from two given points is the straight line which bisects the line segment joining the given points at right angles.

The locus of the point equidistant from two given points a and b is given by