The number of planes that are equidistant from four non-coplanar points is

The number of point equidistant to three given distinct non-collinear points, is

Let P denotes the plane consisting of all points that are equidistant from the points A(-4,2,1) and B(2,-4,3) and Q be the plane, x-y+cz=1 where c in R . If the angle between the planes P and Q is 45^(@) then the product of all possible values of c is

Le n be the number of points having rational coordinates equidistant from the point (0,sqrt3) , the

A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (!=1) . Then, identify the locus of the point.

A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (!=1) . Then, identify the locus of the point.

Prove that the locus of a point that is equidistant from both axis is y=x.

Describe : The locus of points within a circle that are equidistant from the end points of a given chord.

Find a point on the base of a scalene triangle equidistant from its sides.

Number of triangles that can be formed by joining the 10 non-collinear points on a plane is

Find the coordinates of the point which is equidistant from the four points O(0,0,0),\ A(2,0,0),\ B(0,3,0)a n d\ C(0,0,8)dot