Home
Class 12
MATHS
If a line makes angle alpha, beta and ga...

If a line makes angle `alpha, beta` and `gamma` with the coordinate axes respectively, then `cos2alpha+cos 2 beta+cos 2gamma=`

A

`-2`

B

`-1`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
Now, `cos2alpha+cos2beta+cos2gamma`
`=2cos^2alpha+2cos^2beta+2cos^2gamma-3=2(1)-3`
-1
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|22 Videos

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

  • TRIGONOMETRIC FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2 (MISCELLANEOUS PROBLEMS)|26 Videos

Similar Questions

Explore conceptually related problems

If a line makes angles alpha,beta and gamma with the coordinate axes,then prove that cos2 alpha+cos2 beta+cos2 gamma=-1

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .

If a line in the space makes angle alpha,beta and gamma with the coordinate axes, then cos2alpha+cos2beta+cos2gamma+sin^2alpha+sin^2beta+sin^2gamma equals

If a line makes angle alpha, beta and gamma with the axes respectively then sin^(2)alpha+sin^(2)beta+sin^(2)gamma=

If a line makes angles alpha,beta,gamma with the axes respectively tehn cos2alpha+cos2beta+cos2gamma= -2 b. -1 c. 1 d. 2

If a line makes angle "alpha","beta\ and\ gamma" with the coordinate axes, find the value of "cos"2"alpha"+"cos"2"beta"+"cos"2"gamma"dot

If a line makes angles alpha,beta and gamma with threew- dimensional coordinate axes,respectively, then find the value of cos2 alpha+cos2 beta+cos2 gamma

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that sin^2alpha+sin^2beta+sin^2gamma=2