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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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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. If a line makes anles pi//3, pi//4 with the positive x-axis and y-axis...

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  2. If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-a...

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

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  4. if the angles made by a straight line with the coordinate axes are alp...

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  5. If alpha, beta, gamma are the angles made by a line with the positive ...

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  6. If a line in the space makes angles alpha, beta, " and " gamma with th...

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  7. A line makes the same angle theta, with each of the x and z axis. If t...

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

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  9. A straight line is equally inclined to all the three coorinate axes. T...

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  10. The number of lines which are equally inclined to the coordinate axes ...

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  11. The d.c.'s of a line which is equally inclined to the coordinate axes ...

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  12. If the d.r.'s of a line are (3, -4, 12) then d.c.'s of the line are

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  13. The d.c.'s of the line joining the points A(4, 3, 1), B(-2, 1, -2) are

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  14. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

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  15. If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then ...

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  16. IF the d.r.'s of oversetharr(OA),oversetharr(OB) are (1, -2, -1), (3, ...

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  17. The direction ratios of two lines AB, AC are 1, -1, -1 and 2, -1, 1. T...

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  18. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

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  19. If (a(1), b(1), c(1)), (a(2), b(2), c(2)) are d.r.'s of two perpendicu...

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  20. If the direction cosines of any two lines are (-2/3, 1/3, 2/3), (3/5, ...

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