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If a line makes an angle of pi//4with 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 the z-axis is

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(2)`

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The correct Answer is:
D
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AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

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  2. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

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  3. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

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  4. Equation of a line passing through (1,-2, 3) and parallel to the plane...

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  5. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

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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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  9. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

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  10. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

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  11. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

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  12. Distance of the origin from the point of intersection of the line (x)/...

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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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  17. A line AB in three-dimensional space makes angles 45^(@) " and " 120^(...

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  18. The shortest distance between the skew lines l(1): barr=bara(1)+lambda...

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  19. A line makes angles alpha,beta,gamma with the coordinate axes. If alp...

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  20. The lines barr= bari- barj +lambda(2 bari+bark) and bar=(2bari-barj) +...

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