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

`sin^(2)alpha+cos^(2)beta+sin^(2)gamma=1`

B

`cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1`

C

`sin^(2)alpha+sin^(2)beta+sin^(2)gamma=1`

D

`cos^(2)alpha+cos^(2)beta+sin^(2)gamma=1`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Critical Thinking|40 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 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 angles which a line makes with positive direction of the axes, then match the quantities in Column-I to their values in column-II :

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 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

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

    A
    `lt "sin " alpha, sin beta, sin gamma gt`
    B
    `lt cos alpha, cos beta, cos gamma gt`
    C
    `lt tan alpha, tan beta , tan gamma gt `
    D
    `lt cos^(2) alpha, cos^(2) beta, cos^(2) gamma gt `.

    • Similar Questions

    Explore conceptually related problems

    If alpha , beta , gamma are the angles which a directed line makes with the positive directions of the co-ordinates axes,then sin^(2)alpha+sin^(2)beta+sin^(2)gamma is equal to

    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

    alpha/2, beta/2, gamma/2 are the angle which a line makes with positive x,y,z axes respectively. What is the value of cosalpha+cosbeta+cosgamma? (A) 1 (B) -1 (C) 2 (D) 3

    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

    If alpha,beta,gamma are direction angles of a line, then

    Home
    Profile