Home
Class 12
MATHS
A line makes the same angle alpha with e...

A line makes the same angle `alpha` with each of the x and y axes. If the angle `theta`, which it makes with the z-axis, is such that `sin^2theta=2sin^2alpha`, then what is the value of `alpha`?

A

`pi//4`

B

`pi//6`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -1 : Concept Builder (Topicwise)|60 Videos
  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

A line makes the same angle theta with each of the x and z axes. If the angle beta which it makes with y-axis is such that sin^(2)beta=3 sin^(2)theta , then cos^(2)delta=

A line line makes the same angle theta with each of the x and z-axes. If the angle beta , which it makes with y-axis, is such that sin^(2)beta=3sin^(2)theta then cos^(2)theta equals

Knowledge Check

  • A line makes the same angle theta with each of the X and Z-axes. If the angle beta , which it makes with Y-axis, is such that sin^(2)beta=3sin^(2)theta , then cos^(2)theta equals

    A
    `2//5`
    B
    `1//5`
    C
    `3//5`
    D
    `2//3`
  • Choose the most appropriate options. A line makes the same angle theta with each of the X and Z-axis. If the angle beta which it makes with Y-axis is such that sin^(2) beta = 3 sin^(2) theta , then cos^(2) theta equals

    A
    `2//5`
    B
    `1//5`
    C
    `3//5`
    D
    `2//3`
  • If sin^2 theta + sin^2 alpha =1 , then what is the value of cot (theta+alpha) ?

    A
    1
    B
    `sqrt3`
    C
    0
    D
    `(1)/(sqrt3)`
  • Similar Questions

    Explore conceptually related problems

    A line makes the same angle theta with X-axis and Z-axis. If the angle beta , which it makes with Y-axis, is such that sin^2(beta)=3sin^2theta , then the value of cos^2(theta) is

    A line makes an angel theta with each of the x-and z-axes.If the angel beta, which it makes with the y-axis,is such that sin^(2)beta=3sin^(2)theta, then cos^(2)theta equals a.(2)/(3) b.(1)/(5) c.(3)/(5) d.(2)/(5)

    A line makes the same angle theta with each of the X - axis and Z - axis.It makes beta angle with Y -axis such that sin^(2) beta=3sin^(2) theta then cos^(2) theta=

    If a line makes an angle of pi/4 with each of Y and Z-axes , then the angle which it makes with X-axis is

    A line makes an angle theta with the x-axis and the y-axis. If it makes an angle alpha with the z - axis such that sin^(2)alpha= 3sin^(2)theta , then cos ^(2)theta is equal to