The condition \frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1} is for a plane and a line are _____ to each other.

Category: QuestionsThe condition \frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1} is for a plane and a line are _____ to each other.
Editor">Editor Staff asked 11 months ago

The condition \frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1} is for a plane and a line are _____ to each other.
 
(a) perpendicular
 
(b) parallel
 
(c) differential
 
(d) tangential
 
I have been asked this question by my college professor while I was bunking the class.
 
This intriguing question comes from Three Dimensional Geometry 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

The correct answer is (a) perpendicular
 
The best explanation: θ = 90 degrees
 
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 perpendicular to each other is \frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1}
.