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If a line makes an angle of pi/4 with ea...

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

`pi/2`

B

`pi/3`

C

`pi/4`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:
A
Let it makes angle `alpha` with X-axis. Then
`cos^2alpha+cos^2""pi/4+cos^2""pi/4=1`
`rArr" "cos^2alpha+1/2+1/2=1`
`rArr" "cos^2alpha=0rArralpha=pi/2`
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