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If a line makes angles 90^@, 135^@, 45^@...

If a line makes angles `90^@, 135^@, 45^@` with X,Y and Z axes respectively , then find its direction cosines.

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Which of the following is false ?

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  2. Which of the following is true ?

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

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

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

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  6. Of line makes angle 60^(@), 120^(@), 45^(@) with X, Y, Z axes respecti...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Which of the following is true ?

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