The condition a1a + b1b + c1c = 0 is for a plane and a line are _____ to each other.

Category: QuestionsThe condition a1a + b1b + c1c = 0 is for a plane and a line are _____ to each other.
Editor">Editor Staff asked 11 months ago

The condition a1a + b1b + c1c = 0 is for a plane and a line are _____ to each other.
 
(a) integral
 
(b) parallel
 
(c) perpendicular
 
(d) concentric
 
This question was addressed to me in an online quiz.
 
The doubt is from Three Dimensional Geometry topic in portion 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 choice is (b) parallel
 
To elaborate: The relation between the plane ax + by +cz + d = 0 and a1, b1, c1 the direction ratios of a line, if the plane and line are parallel to each other is a1a + b1b + c1c = 0.