The condition \(\frac {a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}\) is for the planes whose normals are _____ to each other.

Category: QuestionsThe condition \(\frac {a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}\) is for the planes whose normals are _____ to each other.
Editor">Editor Staff asked 11 months ago

The condition \frac {a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2} is for the planes whose normals are _____ to each other.
 
(a) perpendicular
 
(b) parallel
 
(c) differential
 
(d) tangential
 
This question was addressed to me during an interview.
 
Asked question is from Three Dimensional Geometry topic in division Three Dimensional Geometry of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Right answer is (a) perpendicular
 
For explanation I would say: Relation between the planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c21z + d2 = 0, if their normal are parallel to each other is a1 : b1 : c1 = a2 : b2 : c2 ⇒ \frac {a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}.