Home
Class 12
MATHS
Find the equation of the image of the pl...

Find the equation of the image of the plane `x-2y+2z=3` in the plane `x+y+z=1`.

Text Solution

Verified by Experts

The correct Answer is:
`x-8y+4z-7=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the image of the point P (3, 5, 7) in the plane 2x + y + z=0 .

Find the equations of the bisectors of the angles between the planes 2x-y+2z+3=0a n d3x-2y+6z+8=0 and specify the plane which bisects the acute angle and the plane which bisects the obtuse angle.

The image of the point (-1, 3, 4) in the plane x-2y=0 is

Find the image of the point (1,3,4) in the plane 2x-y +z = -3.

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x + y + z- 2 = 0 and the point (2, 2, 1).

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

Find the equation of the plane passing through the intersection of the planes x + 2y + 3z-4 = 0 and 2x + y - Z+ 5 = 0 and perpendicular to the plane 5x + 3y + 6z + 8 = 0.

Find the equation of the plane which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 and which contains the line of intersection of the planes x + 2y + 3z - 4 = 0 and 2x + y - z + 5 = 0.