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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

C

3

D

4

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The disatance of the point (1, 0, 2) from the point of intersection of...

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  2. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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

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  4. A plane containing the point (3, 2, 0) and the line (x-1)/(1)=(y-2)/(5...

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

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  6. If the shortest distance between the lines (x-1)/alpha= (y+1)/-1 =z/1 ...

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

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  8. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  9. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

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  10. The distance of the point (1,-2,4) from the plane passing through the ...

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  11. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

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  12. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

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  13. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

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  14. The distance of the point (1, 3, -7) from the plane passing through th...

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  15. If the lies (x-3)/1=(y+2)/-1=(z+lambda)/(-2) lies on the line, 2x - 4...

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  16. The coordinates of the foot of the perpendicular from the point (1, -2...

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  17. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

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  18. If a variable plane, at a distance of 3 units from the origin, interse...

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  19. The length of the projection of the line segment joining the points (5...

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  20. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

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