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Question: Distance betweentwo parallel planes 2x + y + 2z –8 = 0 and 4x + 2y + 4z + 5 = 0 is...

Distance betweentwo parallel planes

2x + y + 2z –8 = 0 and 4x + 2y + 4z + 5 = 0 is

A

3/2

B

5/2

C

7/2

D

9/2

Answer

7/2

Explanation

Solution

2x + y + 2z – 8 = 0

2x + y + 2z + 5/2 = 0

\ distance = 5/2+822+12+22\left| \frac{5/2 + 8}{\sqrt{2^{2} + 1^{2} + 2^{2}}} \right| = 72\frac{7}{2}