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The shortest distance between the lines lines `x/2 = y/2 = z/1 and (x+2)/(-1) = (y-4)/8 = (z-5)/4` in the interval:

A

`(3,4]`

B

`(2,3]`

C

`(1,2]`

D

`(0,1]`

Text Solution

Verified by Experts

The correct Answer is:
B
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Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(4)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
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  2. If the line, (x-3)/(2)=(y+2)/(-1)=(z+4)/(3) lies in the plane, lx+my-n...

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

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

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  5. ABC is triangle and A = (2, 3, 5), B = (-1, 3, 2) and C=(lamda, 5, mu)...

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

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  7. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  8. The disatance of the point (1, 0, 2) from the point of intersection of...

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

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

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

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

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

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

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

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

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

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

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

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