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NDA2019MathematicsThree Dimensional GeometryActual

The distance between the parallel planes 4 x-2 y+4 z+9=0 and 8 x-4 y+8 z+21=0 is

Options

  1. A1 4
  2. B1 2
  3. C3 2
  4. D7 4

Correct answer

A. 1 4

Step-by-step solution

Given planes : 4 x-2 y+4 z+9=0 8 x-4 y+8 z+18=0 ...(1) 8 x-4 y+8 z+21=0 ...(2) Distance = |d₁-d₂ | a^2+b^2+c^2 = |18-21| 64+16+64 = 3 144 = 3 12 = 1 4

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