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The direction consines of a line which l...

The direction consines of a line which lies in XZ-plane and making an angle of `30^(@)` with positive Z-axis are

A

`pm(1)/(2), 0, (sqrt(3))/(2)`

B

`pm (1)/(2), 0, (-sqrt(3))/(2)`

C

`pm(sqrt(3))/(2), 0,(1)/(2)`

D

`pm (sqrt(3))/(2), 0, (-1)/(2)`

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If the line makes angles 45^(@), 60^(@), 120^(@) with X, Y, Z axes res...

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  2. The direction cosines of a line which makes an angle of 45^(@) with Z-...

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  3. The direction consines of a line which lies in XZ-plane and making an ...

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  4. If alpha,beta, gamma are the direction angles of a vector and cos alph...

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  5. A line makes the some angle theta with each of the x and z-axes. If t...

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  6. If the direction cosines of a line are p,-p, (-p)/(2), then p =

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  7. If 1/2,1/3,n are direction cosines of a line, then the value of n is

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  8. If (1)/(sqrt(2)),(1)/(2), n are the direction consines of a line, then...

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  9. Line with direction ratios 1, 1, 1 is

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  10. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  11. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  12. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  13. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  14. Which of the following is true ?

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  15. Which of the following represents direction consines of the line ?

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  16. Which of the triplet can not represent direction cosines of a line ?

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  17. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

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  18. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

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  19. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

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  20. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

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