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Three Dimensional Geometry

Question
CBSEENMA12036272
Wired Faculty App

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

  • 3/2

  • 5/2

  • 7/2

  • 9/2

Solution

C.

7/2

The distance between 4x + 2y + 4z - 16 = 0 and 4x + 2y + 4z + 5 = 0 is
open vertical bar fraction numerator 5 plus 16 over denominator square root of 16 plus 4 plus 16 end root end fraction close vertical bar space equals space open vertical bar fraction numerator 21 over denominator square root of 36 end fraction close vertical bar space equals space 21 over 6 space equals space 7 over 2

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