the equationof a plane is `2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) and D(-3,1,2)` are four points. Which of the following line segments are intersects by the plane? (A) AD (B) AB (C) AC (D) BC

The equation of a plane is 2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) and D(-3,1,2) are four points. Which of the following line segments are intersects by the plane? (A) AD (B) AB (C) AC (D) BC

Let (1,2,0) , B(2,0,4) , C (1,1,2) & D(0,1,3) be four points in space then the length of projection of line segment AB on the line C D is

Consider a plane P:2x+y-z=5 , a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) and a point A(3, -4,1) . If the line L intersects plane P at B and the xy plane at C, then the area (in sq. units) of DeltaABC is

Consider a plane P:2x+y-z=5 , a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) and a point A(3, -4,1) . If the line L intersects plane P at B and the xy plane at C, then the area (in sq. units) of DeltaABC is

A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What are the direction ratios of the line of intersection of the given planes ?

A plane P passes through the line of intersection of the planes 2x-y+3z=2.x+y-z=1 and the point (1,0,1) What are the direction ration of the line of intersection of the given planes

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.