Home
Class 11
MATHS
If cos alpha , cos beta, cos gamma are t...

If `cos alpha , cos beta, cos gamma` are the direction-cosines of a line, then the value of `sin^2alpha + sin^2 beta + sin^2gamma =`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTION FROM MISCELLANEOUS EXERCIES|7 Videos
  • STRAIGHT LINES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|14 Videos

Similar Questions

Explore conceptually related problems

If cosalpha, cosbeta and cosgamma are the direction cosine of a line, then find the value of cos^2alpha+(cosbeta+singamma)(cosbeta-sin^2gamma) .

If cos α , cos β , cos γ are the direction-cosines of a line, then the value of cos^(2) alpha +cos^(2) beta +cos^(2) gamma is _____ .

If cos alpha+ cos beta + cos gamma = sin alpha+ sin beta +sin gamma= 0 , then :

If a line makes angles alpha,beta,gamma respectively with positive directions of the coordinate axes, then the value of cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1 .

If alpha,beta,gamma are direction - angles of a line prove that cos2 alpha+cos2beta+cos2gamma=-1

Given that : (1 + cos alpha) (1 + cos beta) (1 + cos gamma)= (1 - cos alpha) (1-cos beta) (1 - cos gamma) , show that one of the values of each member of this equality is sin alpha sin beta sin gamma .