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 (1,0,0), (0,2,0),(0,0,3) and (0,0,0).

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 (a,0,0),(0,b,0),(0,0,c) and (0,0,0),a,b and c being non-zero reals.

Find the co-ordinates of the point R, which divides the join of P (0, 0, 0) and Q (4, -1, -2) in the ratio 1 : 2 externally and verify that P is the mid-point of [RQ].

Abscisa and ordinate of any point (0,0 ) is

The position vectors of the four angular points of a tetrahedron OABC are (0, 0, 0), (0, 0, 2), (0, 4, 0) and (6, 0, 0) , respectively. A point P inside the tetrahedron is at the same distance 'r' from the four plane faces of the tetrahedron. Then, the value of 9r is.....

Find the equation of the sphere passing through (0, 0, 0), (1, 0, 0) and (0, 0, 1).

Show that the points (1,0,1),(1,1,0),(0,1,1) and (0,0,2) are coplanar.

Find the co-ordinates of the foot of the perpendicualr drawn from the point A(1,8,4) to the joining B(0,-1,3) and C(2,-3,-1).

The coordinates of the mid-points of the sides of DeltaPQR , are (3a,0,0), (0,3b,0) and (0,0,3c) respectively, then the area of DeltaPQR is