Examine whether the points `(1, -1), (-5, 7) and (2, 5)` are equidistant from the point `(-2, 3)` ?

If the points (2,\ 1) and (1,\ -2) are equidistant from the point (x ,\ y) , show that x+3y=0 .

A point P (2, -1) is equidistant from the points (a,7) and (-3,a). Find a.

Examine whether points (-8,3),(2,-2) and (-4,1) are collinear or not.

Show that the point (2,2) is equidistant from the point (-1,-2) and (-3,2) .

The point on x - axis which is equidistant from the points (3,2,2) and (5,5,4) is

Show that the line through the point (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (-1, -2, 1) and (1, 2, 5).

Examine whether the coplanar points (-2,6,-2),(0,4,-1),(-2,3,1) and (-4,5,0) are the vertices of a square.

Find the point on x-axis which is equidistant from the points (-2,\ 5) and (2,\ -3) .

Find the locus of the points which are equidistant from the points (1,2,3) and (3,2,11).

Determine the points in i. xy-plane which re equidistant from the points A(1,-1,0),\ B(2,1,2),\ a n d\ C(3,2,-1 )