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

If a line makes an angle of `pi/4` with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of z-axis is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
(d)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  8. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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

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  12. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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

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  14. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

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  15. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

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  16. the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...

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  17. If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line ...

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  18. If the angle theta between the line (x+1)/(1) = ( y-1)/(2) = (z-2)/(2)...

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  19. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

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