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Direction cosines of the line (x+3)/(-2)...

Direction cosines of the line `(x+3)/(-2)=(y-5)/(4)=(z+6)/(-2)` are :

A

`((2)/(sqrt22),(4)/(sqrt22),(2)/(sqrt22))`

B

`((2)/(sqrt22),(4)/(sqrt22),(2)/(sqrt2))`

C

`((-2)/(sqrt22),(4)/(sqrt22),(-2)/(sqrt22))`

D

`((-2)/(sqrt22),(4)/(sqrt22),(-2)/(sqrt22))`

Text Solution

Verified by Experts

The correct Answer is:
B
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 1 MARK (TYPE-I: MULTIPLE CHOICE QUESTIONS )
  1. If a line makes angles alpha,beta,gamma with x-axis and z-axis respect...

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  2. Direction cosines of the line (x-2)/(3)=(y+1)/(-1)=(z-3)/(-2) are :

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  3. Direction cosines of the line (x+3)/(-2)=(y-5)/(4)=(z+6)/(-2) are :

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  4. The direction cosines of the line joining the points (- 2, 1, 0) and (...

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  5. The point which lies in the plane given by the equations 2x+y-3z=10 is...

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  6. The point which lies in the plane given by the equations 2x+y-3z=10 is...

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  7. If line makes angles 90^@,45^@,135^@ with X, Y and Z axes respectivel...

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  8. If line makes angles 90^@,45^@,135^@ with X, Y and Z axes respectivel...

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  9. The distance of the point (3, 2, 7) from YZ-plane is equal to:

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  10. The distance of the point (3, 2, 7) from XY-plane is equal to :

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  11. Distance between plane 3x + 4y - 20 = 0 and point (0, 0, - 7) is :

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  12. The distance of the plane 2x - 3y + 6z + 14 = 0 from the point (0, 2, ...

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  13. The distance of the plane 2x-3y-6z+14=0 from point (3, 2, 0) is :

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  14. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

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  15. Distance between plane defined by 3y + 4z + 10 = 0 and the point (7, 5...

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  16. Distance between the point (0,1,7) and the plane 3x+4y+1=0 is:

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  17. Distance between the point (1, 0 , 9) and the plane 4x + 3y + 1 = 0 is

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  18. Direction ratios of line (x -1)/3 = (5 - y)/1 = (2z+4)/6 are

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  19. Find the equation of line passing from the points (2, 5, 6) and (1, 2,...

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  20. Direction ratios of line given by line (x-1)/3=(2y+6)/12=(1-z)/-7 are...

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