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If a line makes angle 90^(@),135^(@),45^...

If a line makes angle `90^(@),135^(@),45^(@)` with X,Y and Z-axis respectively, then its direction cosines are

A

`(0,0,0)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Multiple Choice Questions ( MCQs)
  1. The angle between the two diagonals of cube is

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  2. The angle between the tines (x-5)/(2)=(y+1)/(2)=(z-6)/(-6) and (x-5)/(...

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  3. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  4. If a line passing through two points (-2,4,-5) and (1,2,3) then its di...

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  5. Direction casines of z-axis are

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  6. If a line has direction ratios (2,-1,-2), then its drection cosines ar...

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  7. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  8. The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are :

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  9. Two lines which do not lie in the same plane are called

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  10. If a line makes angles alpha,beta,gamma respectively, positive x-axis,...

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  11. The equation x^(2)+y^(2)=0 in three dimension space represents

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  12. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  13. The planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are

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  14. The planes 2x+y+3z-2=0 and x-2y+5=0 are

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  15. The planes 2x-y+3z-1=0 and 2x-y+3z+3=0 are

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  16. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

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  17. The angle between the two diagonals of cube is

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  18. The angle between the tines (x-5)/(2)=(y+1)/(2)=(z-6)/(-6) and (x-5)/(...

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    |

  19. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  20. If a line passing through two points (-2,4,-5) and (1,2,3) then its di...

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