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JEE Main2004MathematicsThree Dimensional GeometryActual

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

Options

  1. A3 2
  2. B5 2
  3. C7 2
  4. D9 2

Correct answer

C. 7 2

Step-by-step solution

Given planes are 2 x+y+2 z-8=0,4 x+2 y+4 z+5=0 2 x+y+2 z+5 / 2=0 Distance between planes = |d₁-d₂ | a^2+b^2+c^2 = |-8-5 / 2| 2^2+1^2+2^2 = 7 2

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