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 segment are interesect by the plane?

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

P(2,1,2),Q(1,2,1) are two points on a plane which is parallel to the line 2x=3y,z=1 . Find the equation of the plane.

The equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(-1), (z+1)/(2) and passing through the point (2, 3, 1) . Is

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.

The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2) b. (-3,5,\ 2) c. (3,\ 5,\ -2) d. (3,\ -5,\ 2)

The equation of the plane perpendicular to the line (x-1)/1=(y-2)/(-1)=(z+1)/2 and passing through the point (2,3,1), is

Find the ratio in which the line segment joining the points (2,-1,3) and (-1,2,1) is divided by the plane x+y+z=5.

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

Find the equation of the plane throughathe points (2,-3,1) and (5,2,-1) and perpendicular to the plane x-4y+5z+2=0