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Equation of the line passing through hat...

Equation of the line passing through `hati+hatj-3hatk` and perpendicular to the plane 2x-4y+3z+5=0 is

A

`(x-1)/2=(1-y)/(-4) =(z-3)/3`

B

`(x-1)/2=(1-y)/4=(z+3)/3`

C

`(x-2)/1=(y+4)/1=(z-3)/3`

D

`(x-1)/(-2) =(1-y)/(-4)=(z-3)/3`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. The vector equation of the line 6x-3=3y+4=2z-2 is

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  2. The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/...

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  3. If the lines (x-1)/(-3)=(y-2)/(2k) =(z-3)/2 and (x-1)/(3k) =(y-5)/1=(z...

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  4. A line makes angles alpha,beta,gamma with the coordinates axes . If al...

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  5. The angle between the lines x=1,y=2 and y=-1 ,z=0 is

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  6. The distance between the lines vecr=veca1+tvecb and vecr=veca2+svecb i...

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  7. The vector equation of a plane which is at a distance of 6/sqrt29 from...

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  8. The equation of a plane with intercepts 2,3,and 4 on the x,y and z axe...

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  9. The direction cosines of the normal to the plane 6x-2y-2z=1 are

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  10. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is

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  11. If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2 =(z+1)/...

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  12. The equation of the plane passing through (2,3,4) and parallel to the ...

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  13. The vector equation of the plane through the point (2,1,-1) and parall...

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  14. The equation of the plane passing through (1,2,3) and parallel to 3x-2...

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  15. The staight line passing through the point (1,0,-2) and perpendicular ...

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  16. Equation of the line passing through hati+hatj-3hatk and perpendicular...

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  17. The angle between a normal to the plane 2x-y+2z-1=0 and the z-axis is

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  18. Distance between the parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  19. The angle theta between the line vecr=veca+lambdavecb and the plane ve...

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  20. The reflection of the point (alpha,beta,gamma) in the xy plane is

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