Home
Class 12
MATHS
A line makes the same angle theta with X...

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

(a) `(1)/(5)`

B

(b) `(2)/(5)`

C

(c) `(3)/(5)`

D

(d) `(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples : Matching Type Questions|4 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

Similar Questions

Explore conceptually related problems

A line makes an angle theta with each of the x-and z-axes. If the angle beta, which it makes with the y-axis, is such that sin^2beta=3sin^2theta,t h e ncos^2theta equals a. 2/3 b. 1/5 c. 3/5 d. 2/5

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^2beta=3sin^2theta ,then cos^2theta equals a. 2/3 b. 1/5 c. 3/5 d. 2/5

A line makes an angle theta both with x-axis and y-axis. A possible range of theta 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

A line makes an angle (pi)/(4) with each y-axis and z-axis. The angle that it makes with the x - axis is

A line makes an angle of 60^0 with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.

A line makes an angle of 60^0 with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.

A vector makes an angle of pi/4 with each of x-axis and y-axis Find the angle made by it with the z-axis.

For any angle theta , state the value of : " "sin^(2)theta+cos^(2)theta .

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is a-2 (b) a+2 2(a+2) (d) 2/a