The distance between the circumcentre and the orthocenter of the triangle formed by the points (2,1,5), (3,2,3), (4,0,4) is

The fourth vertex of the square whose consecutive vertices are (4,5,1), (2,4,-1), (3,6,-3) is

The locus of a point which is equidistant from the points(-2,2,3), (3,4,5) is

The orthocentre of the triangle formed by the points(2,1,5), (3,2,3), (4,0,4) is

If (2,1,1) is the centroid of the triangle for which (3,2,-1), (2,-2,5) are two vertices then the third vertex is

If the orthocenter and the circumcentre of a triangle are (-3,5,1), (3,3,-1) then the circumcentre is

If (2,3,4) is the centroid of the  tetrahedron for which (2,3,-1), (3,0,-2), (-1,4,3) are three vertices then the fourth vertex is

The centroid of the triangle formed by the points (2,3,-1), (5,6,3),(2,-3,1) is

The locus of a point P such that the distances from P to the points (2,3,5) ,( 1,2,-1)  are in the ratio 5:2 is

The locus of the point if the join of the points (-4,2,3), (2,-1,5) subtends a right angle at P is