A geometry problem by rounak chatterjee

Geometry Level 2

if \(p_{1}\) ,\( p_{2}\) , \(p_{3}\)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. \(p_{1}\) + 8 \(p_{2}\) - \(p_{3}\)=0
  2. \(p_{3}\) = 16 \( p_{2}\)
  3. 8 \(p_{2}\)= \(p_{1}\)
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