Find the radius of the sphere through the points `(0,5,0),(4,3,0),(4,0,3) and (0,4,3)`

Find the equation of the sphere passes through the points (0,0,0),(-1,2,3),(1,-2,3) and (1,2,-3) and determine its radius.

Find the equation of the sphere passing through the points (3,0,0),(0,-1,0),(0,0,-2) and whose centre lie on plane 3x+2y+4z=1

Find the equation of the sphere which passing through the points (0,0,0),(0,1,-1),(-1,2,0) and (1,2,3).

Find the centre and radius of the circle passing through the points P (-7,4) ,Q(0,3) and R (-4,5)

Find the coordinates of the point where the line through the points (3,4,5) and (2,3,1), crosses the plane determined by the points (1,2,3),(4,2,3) and (0,4,3).

Obtain the equation of the sphere through the four points (4,-1,2);(0,-2,3);(1,-5,-1) and (2,0, 1)

find the equation of the circle passing through the points (0,0), (5,0) and (3,3)