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Distance between two parallel planes `2x""+""y""+""2z""=""8` and `4x""+""2y""+""4z""+""5""=""0` is (1) `5/2` (2) `7/2` (3) `9/2` (4) `3/2`

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Distance between two parallel planes `2x""+""y""+""2z""=""8` and `4x""+""2y""+""4z""+""5""=""0` is (1) `5/2` (2) `7/2` (3) `9/2` (4) `3/2`
A. `3/2`
B. `5/2`
C. `7/2`
D. `9/2`
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Correct Answer - C
Equations of the given planes are `2x+y+2z-8=0` and `2x+y+2z+5/2=0`.Let `d` be the distance between these planes, Then
`d=|(-8-5/2)/(sqrt(2^(2)+1^(2)+2^(2)))|=21/6=7/2`
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