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

The centroid of the tetrahedron formed by the points(3,2,5), (-3,8,-5), (-3,2,1),(-1,4,-3) is