A geometry problem by rounak chatterjee

Geometry Level 2

if p 1 p_{1} , p 2 p_{2} , p 3 p_{3} denotes the distance of the plane 2x - 3y + 4z+2=0 from the planes 2x - 3y + 4z + 6=0 ; 4x - 6y + 8z + 3=0 and 2x - 3y + 4z - 6=0 respectively then,

  1. p 1 p_{1} + 8 p 2 p_{2} - p 3 p_{3} =0
  2. p 3 p_{3} = 16 p 2 p_{2}
  3. 8 p 2 p_{2} = p 1 p_{1}
only 2 and 1 all of these none of these only 2 and 3

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