Home
Class 12
MATHS
If alpha,beta,gamma be the angles which ...

If `alpha,beta,gamma` be the angles which a line makes with the coordinates axes, then

A

A. `cos(2alpha)+cos(2beta)+cos(2gamma)-1=0`

B

B. `cos(2alpha)+cos(2beta)+cos(2gamma)-2=0`

C

C. `cos(2alpha)+cos(2beta)+cos(2gamma)+1=0`

D

D. `cos(2alpha)+cos(2beta)+cos(2gamma)+2=0`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are the angles that a line makes with the positive direction of x, y, z axis repectively, then the direction cosines of the line are:

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 a line makes anles alpha, beta, gamma with the coordinate axes, porve that sin^2alpha+sin^2beta+sin^2gamma=2

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

Find the direction cosines of a line which makes equal angles with the coordinate axes.

A line makes angles alpha,beta and gamma with the coordinate axes. If alpha+beta=90^0, then find gamma .

If alpha, beta and gamma are angles made by the line with positive direction of X-axis, Y-axis and Z-axis respectively, then find the value of cos2alpha+cos2beta+cos2gamma .

If a line makes equal angles with coordinates axes its direction - cosines are.