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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=`

A

`(2)/(3)`

B

`(1)/(5)`

C

`(3)/(5)`

D

`(2)/(5)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
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  6. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

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  7. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

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  8. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

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  13. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

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  14. A line makes the same angle theta, with each of the x and z axis. If t...

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  15. If a line makes an angle of pi//4with the positive directions of each ...

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  16. The line passing through the points (5,1,a) and (3,b,1) cross the yz -...

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