Home
Class 12
MATHS
Show that the four points A(0,-1,0), B(2...

Show that the four points A(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Text Solution

Verified by Experts

The correct Answer is:
`4x-3y+2z=3`
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) are coplanar and find the equation of the common plane.

Find x such that the four points A(3, 2, 1), B(4, x, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar.

Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+6y+9z-8=0 and parallel to the plane x+y-z=0

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

Show that the points P(-2, 3, 5), Q(1, 2, 3) and R(7, 0, -1) are collinear.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points (a, 0), (0, b) and (1, 1) are collinear, if (1)/(a)+(1)/(b)=1

Using section formula, show that the points A(2, -3, 4), B(-1, 2, 1) and C(0,1/3,2) are collinear.

Show that A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a parallelogram ABCD.