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If cos alpha=(sqrt(3))/(2), cos gamma=(-...

If `cos alpha=(sqrt(3))/(2), cos gamma=(-1)/(2)`, then the direction angle of lines are

A

`(pi)/(6), (pi)/(4),(pi)/(3)`

B

`(5pi)/(6),(pi)/(2),(2pi)/(3)`

C

`(pi)/(6), (pi)/(2),(2pi)/(3)`

D

`(pi)/(6),(pi)/(2),(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. A line makes an angle alpha, beta, gamma, delta with the four diagonal...

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  2. If the edges of a rectangular parallelepiped are a,b, c, prove that th...

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  3. If cos alpha=(sqrt(3))/(2), cos gamma=(-1)/(2), then the direction ang...

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  4. If a line makes angles of measure 45^(@) and 60^(@) with the positive ...

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  5. A line makes angles of measures (pi)/(6) and (pi)/(3) with X-and Z-axe...

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  6. If a line is inclined at 60^(@) and 30^(@) with the X-and Y-axes respe...

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  7. If a line makes angles of measure 60^(@) and 45^(@) with OX and OZ, th...

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  8. If a line which makes angle 60^(@) with Y and Z axes, then the angle w...

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  9. A line makes angles alpha, beta, gamma with X, Y, Z axes respectively....

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  10. A line makes angles alpha, beta, gamma with X, Y, Z axes respectively....

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  11. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

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  12. If direction angles of a line are alpha, beta, gamma such that alpha+b...

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  13. A line lies in XZ-plane and makes an angle 60^(@) with Z-axis, find i...

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  14. A line lies in YZ- plane and makes angle of 30^(@) with Y-axis, then ...

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  15. If a straight line in space is equally inclined to the co-rodinate axe...

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  16. Which of the following is false ?

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  17. Which of the following is true ?

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  18. If a line makes angles 90^@, 135^@, 45^@ with X,Y and Z axes respectiv...

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  19. The direction cosines of the line which bisects the angle between posi...

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  20. The direction consines of a line equally inclined with the co-ordinate...

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