Show that the plane `ax+by+cz+d=0` divides the line joining `(x_1, y_1, z_1) and (x_2, y_2, z_2)` in the ratio of `(-(ax_1+ay_1+cz_1+d)/(ax_2+by_2+cz_2+d))`

XY - plane divides the line joining A(x_(1),y_(1),z_(1)) and B(x_(2),y_(2),z_(2)) in the ratio

Show that the plane ax+by+cz+d=0 divides the line joining the points (x_(1),y_(1),z_(1)) and (x_(2),y_(2),z_(2)) in the ratio (ax_(1)+by_(1)+cz_(1)+d)/(ax_(2)+by_(2)+cz_(2)+d)

ZX-Plane divides the line joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) in the ratio =

The line segment joining A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2)) is divided by XY - plane in the ratio

The distance of a plane Ax+By+Cz=D from the point (x_(1),y_(1),z_(1)) is

The two planes ax+by+cz+d=0 and ax+by+cz+d=0 where d ne d_1 , have

Find the reflection of the plane ax+by+cz+d=0 in the plane a\'x+b\'y+c\'z+d\'=0

The two planes ax+by+cz+d=0 and ax+by+cz+d_1=0 where dned_1 have

If the plane ax-by+cz=d contains the line (x-a)/(a)=(y-2d)/(b)=(z-c)/(c ) , then the value of (b)/(4d) is equal to (b, d ne 0)