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|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

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

If a line makes an angle of (pi)/(4) each of y and z axis, then the angle which it makes with x-axis is …………… .

If A = sin^2 theta+ cos^4 theta , then for all real values of theta

The Ieast value of 2sin^2theta + 3 cos^2 theta is

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

If a line makes an angle of pi/4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of z-axis is

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

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta .