Height and DistanceHard
Question
Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is
Options
A.

B.

C.

D.

Solution
Given planes are
2x + y + 2z - 8 = 0, 4x + 2y + 4z + 5 = 0 ⇒ 2x + y + 2z + 5/2 = 0
Distance between planes =
2x + y + 2z - 8 = 0, 4x + 2y + 4z + 5 = 0 ⇒ 2x + y + 2z + 5/2 = 0
Distance between planes =

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