Home
Class 12
MATHS
Show that the four points A(3,2,-5, B(-1...

Show that the four points A(3,2,-5, B(-1,4,-3), C(-3,8,-5) and D(-3,2,1) are coplanar. Find the equation of the plane containing them.

Text Solution

Verified by Experts

The correct Answer is:
`x+y+z=0`
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28B|30 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28C|34 Videos
  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos
  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos
  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

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.

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

(a) show that the following four points are coplanar : (i) (4,5,1), (0,-1,-1) ,(3,9,4) and (-4,4,4) (ii) (0,-1,0), (2 , 1 , -1) , (1,1,1) and (3,3,0). (b) Show that the four points : (0,-1,-1), (4,5,1), (3,9,4) and (-4,4,4) are coplanar. Also,find the equation of the plane containing them .

Show that the points A(-1,4,-3),B(3,2,-5),C(-3,8,-5) and D(-3,2,1) are coplanar.

Show that the points A(-1,4,-3), B(-3,2,1),C(3,2,-5) and D(-3,8,-5) are coplanar. Also find the equation of the plane passing through these points.

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Show that the four points (0,-1,-1),(-4,4,4),(4,5,1) and (3,9,4) are coplanar.Find the equation of plane containing them.

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

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.

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.