If the two planes 3x - 2y + 4z +1 = 0 and -6x + qy + rz + 8 = 0 are parallel then q and r respectively 

  1. 4, 8
  2. -4, -8
  3. -4, 8
  4. 4, -8

Answer (Detailed Solution Below)

Option 4 : 4, -8
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Detailed Solution

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Concept:

Condition of parallel plane:

If plane a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 = 0 are a parallel i.e.  

Calculation:

Given two planes are 3x - 2y + 4z +1 = 0  and -6x + qy + rz + 8 = 0

For the parallel planes;

Taking the first two ratios,

q = 4

Taking first and last ratios,

r = -8

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