A plane passes through (2, 3, -1) and is perpendicular to the line having direction ratios ( 3, -4, 7). The perpendicular distance from the origin to this plane is

The ratio in which (5,4,-6) divides the line segment joining (3,2,-4),(9,8,-10) is

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

The coplanar points(3,2,1), (5,6,5),(2,1,2),(0,-3,-2) form a

If the centroid of the triangle formed by (a,1,3), (-2,b,-5) and (4,7,c) is the origin then(a,b,c)=

The ratio in which yz-plane divides the line segment joining (3,4,5) ,(2,-3,1) is

The point dividing the join of (3, -2, 1} and (-2, 3, 11) in the ratio 2 : 3 is :

If (1,2,3), (2,3,1) are two vertices of an equilateral triangle then its third vertex is

A(0,2,3), B(2,-1,5), C(3,0,-3) are vertices of ABC. If  a,b,c are HG,GS,SH then their ascending order is