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The direction cosines of a line which ma...

The direction cosines of a line which makes an angle of `45^(@)` with Z-axis and congruent angles with X and Y axes, are

A

`(-1)/(2), (-1)/(2), (1)/(sqrt(2))`

B

`(1)/(2), (-1)/(2), (1)/(sqrt(2))`

C

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

D

`(1)/(2), (1)/(2), (1)/(sqrt(2))`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Of line makes angle 60^(@), 120^(@), 45^(@) with X, Y, Z axes respecti...

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  2. If the line makes angles 45^(@), 60^(@), 120^(@) with X, Y, Z axes res...

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

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

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

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

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

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

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

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

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

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  15. Which of the following is true ?

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

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

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

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

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

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