Home
Class 11
MATHS
A line makes the same angle theta, with ...

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=3sin^(2)theta, " then " cos^(2)theta=`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(2) theta = 3//5`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise EXERCISE - 7.1 (VERY SHORT ANSWER QUESTION)|23 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise EXERCISE - 7.1 (SHORT ANSWER QUESTION)|11 Videos

  • DIRECTION COSINES AND RATIOS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

  • DOT PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

Similar Questions

Explore conceptually related problems

A strainght line make angle theta with the X-axis then the slope is

If 2-cos^(2)theta = 3 sin theta cos theta then theta =

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

Angle between the lines x^(2)[cos^(2) theta-1]-xy sin^(2) theta+y^(2) sin^(2) theta= theta is

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 the z-axis is

If sin 2 theta = cos 3 theta and theta is an acute angle, then sin theta equals