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

If `alpha,beta,gamma` are the angles which a line makes with OX,OY and OZ , then `sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma `

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are the angles which a line makes with the coordinate axes ,then (A) sin^2alpha=cos^2beta+cos^2gamma (B) cos^2alpha+cos^2beta+cos^2gamma=2 (C) cos^2alpha+cos^2beta+cos^2gamma=1 (D) sin^2alpha+sin^2beta=1+cos^2gamma

If alpha+beta+gamma are the angle which a half ray makes with the positive direction of the axes then sin^2alpha+sin^2beta+sin^2gamma= (A) 1 (B) 2 (C) 0 (D) -1

Knowledge Check

  • If alpha,beta,gamma be the angles which a line makes with the positive directions of the axes, then sin^(2)alpha+sin^(2)beta+sin^(gamma)=

    A
    2
    B
    3
    C
    4
    D
    None

  • If alpha +beta -gamma =pi , then sin^(2) alpha + sin ^(2) beta -sin^(2) gamma =

    A
    `2 sin alpha sin beta sin gamma`
    B
    `2 sin alpha sin beta cos gamma`
    C
    `2 cos alpha cos beta sin gamma`
    D
    `2 cos alpha cos beta cos gamma`

  • If a vector vec(A) make angles alpha , beta and gamma , respectively , with the X , Y and Z axes , then sin^(2) alpha + sin^(2) beta + sin^(2) gamma =

    A
    `0`
    B
    `1`
    C
    `2`
    D
    `3`

    • Similar Questions

    Explore conceptually related problems

    If a vector makes angles alpha,beta,gamma with OX, OY and OZ respectively, prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=2

    If alpha, beta, gamma be angles which a straighat line makes with the positive direction of the axes, then sin^2 alpha+sin^2beta+sin^2gamma is equal to (A) 4 (B) 1 (C) 2 (D) 3

    If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

    If cos alpha, cos beta, cos gamma are the direction cosines of a line then the value of sin^(2) alpha + sin^(2) beta + sin^(2) gamma is__________

    If alpha + beta - gamma =pi, then tan ^(2) alpha + sin^(2) beta- sin ^(2) gamma=

    Home
    Profile