Home
Class 12
MATHS
Distance between the parallel planes 2x+...

Distance between the parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

A

`(3)/(2)`

B

`(5)/(2)`

C

`(7)/(2)`

D

`(9)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given planes are
`2x+y+2z-8=0` and `2x+y+2z+(5)/(2)=0`
`:."Distance between two planes"`
`(|c_(1)-c_(2)|)/(sqrt(a^(2)+b^(2)+c^(2)))=|(-8-(5)/(2))/(sqrt(2^(2)+1^(2)+2^(2)))|=(21//2)/(3)=(7)/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the distance between the parallel planes x-2y-2z=3 and 2x-4y-4z=7 .

Find the distance between the parallel planes x +2y-2z +1= 0 and 2x + 4y - 4z+5=0.

Distance between the two planes : 2x+3y+4z=4 and 4x+6y+8z=12 is

The angle between the planes 2x + y - z = 9 and x + 2y + z = 7 is …………

Find the angle between the two planes 3x - 6y + 2z =7 and 2x + 2y – 2z = 5.

The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z + 7 = 0 is

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z , is

A plane which bisects the angle between the two given planes 2x-y+2z-4=0" and "x+2y+2z-2=0 , passes through the point