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If the distance between planes, 4 x-2 y-4 z+1= 0 and 4 x-2 y-4 z+d=0 is 7 , then d is:

Options

  1. A41 or -42
  2. B42 or -43
  3. C-41 or 43
  4. D-42 or 44

Correct answer

C. -41 or 43

Step-by-step solution

Given planes are 4 x-2 y-4 z+1=0 and 4 x-2 y-4 z+d=0 They are parallel. Distance between them is 7= d-1 16+4+16 aligned & d-1 6 = 7 & d=42+1 & or -42+1 & i.e. d=-41 or 43 . aligned

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