1.

Ifa line makes an angle of `pi/4`with the positive directions of each ofx-axis and y-axis, then the angle that the line makes with the positivedirection of the z-axis is(1) `pi/6`(2)`pi/3`(3) `pi/4`(4)`pi/2`

Answer» If`l,m,n`is direction of a line then
`l^2+m^2+n^2=0`
and if line make`(alpha,beta,gamma)`with Co-ordinate xis
`l=Cosalpha`
`m=Cosbeta`
`n=Cosgamma`
`Cos^2alpha+Cos^2beta+Cos^2gamma=1`
`1/2+1/2+Cos^2gamma=1`
`Cos^2gamma=0`
`gamma=pi/2`
option`2=pi/2`


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