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The distance between the parallel planes...

The distance between the parallel planes `4x-2y+4z+9=0 and 8x-4y+8z+21=0` is (A) `1/4` (B) `1/2` (C) `3/2` (D) `7/4`

A

`1/4`

B

`1/2`

C

`3/2`

D

`7/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Given planes : `4x-2y+4z+9=0`
`rArr 8x-4y+8z+18=0 …(1)`
`8x-4y+8z+21=0 …(2)`
Distance `(abs(d_1-d_2))/sqrt(a^2+b^2+c^2)=abs(18-21)/sqrt(64+16+64)`
`=3/sqrt144=3/12=1/4`
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