A line line makes the same angle theta w...

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

`2/3`

`1/5`

`3/5`

`2/5`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos
STRAIGHT LINES
AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

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 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 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 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=

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

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 straight line which makes an angle of 60^@ with each of Y and Z-axis, the angle this lines makes with X-axis is

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A

A parallelopiped is formed by planes drawn through the points (1, 2,...
Text Solution
|
Find the angel between the lines 2x=3y=-za n d6x=-y=-4zdot
Text Solution
|
A line line makes the same angle theta with each of the x and z-axes....
Text Solution
|
Distance between two parallel planes 2x""+""y""+""2z""=""8 and 4x"...
Text Solution
|
The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...
Text Solution
|
The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...
Text Solution
|
The coordinates of the point in which the line joining the points (2,...
Text Solution
|
Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.
Text Solution
|
If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...
Text Solution
|
A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...
Text Solution
|
The lines (x-2)/1=(y-3)/2=(z-4)/(-2k)and (x-1)/k=(y-2)/3=(z-6)/1 are...
Text Solution
|
If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...
Text Solution
|
Find value of lambda if two lines having direction ratios 1, -2, 3 and...
Text Solution
|
If plane passes through the point (1, 1,1) and is perpendicular to the...
Text Solution
|
Find the equation of a plane containing the line of intersection of...
Text Solution
|
The plane passing through the point (-2, -2, -3) and containing the ...
Text Solution
|
Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...
Text Solution
|
If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...
Text Solution
|
Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...
Text Solution
|
The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...
Text Solution
|