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A line makes an angle theta both with x-...

A line makes an angle `theta` both with x-axis and y-axis. A possible range of `theta` is

A

`[0,pi/4]`

B

`[0,pi/2]`

C

`[pi/4,pi/2]`

D

`[pi/3,pi/6]`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `cos^2theta+cos^2theta+cos^2gamma=1`
`rArrcos^2gamma=-costheta" "[therefore2cos^2theta-1=costheta]`
`rArr" "cos2thetale0`
`therefore" "theta in [pi/4,pi/2]`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-THREE DIMENSIONAL GEOMETRY-Exercise 2 (MISCELLANEOUS PROBLEMS)
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  18. If P(p), Q(q), R(r) and S(s) be four points such that 3p+8q=6r+5s then...

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  19. The direction cosines of line joining (1,-1,1) and (-1,1,1) are

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