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Find the shortest distance between the z...

Find the shortest distance between the z-axis and the line, `x+y+2z-3=0,2x+3y+4z-4=0.`

A

1

B

2

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3

D

4

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The correct Answer is:
B
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. The disatance of the point (1, 0, 2) from the point of intersection of...

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  2. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

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  3. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

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  4. Find the equation of a plane which passes through the point (3, 2, 0...

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  5. The angle between the lines whose direction cosines satisfy the equati...

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  6. The image of the line (x-1)/(3)=(y-3)/(1)=(z-4)/(-5) in the plane 2x-y...

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

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  8. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  9. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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  10. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  11. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  12. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  13. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  14. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  15. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  16. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  17. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  18. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  19. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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

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