The ends of the hypotenuse of a right angled triangle are (2,0,-3), (0,4,1) then the locus of the third vertex is

The line joining the points (2,3,4) and (4,10,7) intersects the line joining(2,-1,5) and (4, -30,17). Then the coordinates of the point of intersection are

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

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

The points of trisection of the line segment joining (2,-3,5), (3,1,-2) are

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

The locus of a point which is at a distance of 5 unit from (2,1,-3) is

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