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Find the shortest distance between the lines
`(x+3)/(-4) =(y-6)/(3)=(z)/(2) " and " (x+2)/(-4) =(y)/(1)=(z-7)/(1)`

A

7

B

9

C

13

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
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Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = (z-7)/(1) and (x+3)/(-4) = (y-6)/(3) = 9/2

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Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

Find the magnitude of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) .

Equation of the line of the shortest distance between the lines (x)/(1)=(y)/(-1)=(z)/(1) and (x-1)/(0)=(y+1)/(-2)=(z)/(1) is:

Equation of the line of the shortest distance between the lines (x)/(2)=(y)/(-3)=(z)/(1) and (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) is

Find the shortest distance between the lines (x-6)/(3)=(y-7)/(-1)=(z-4)/(1) and (x)/(-3)=(y-9)/(2)=(z-2)/(4)

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DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -1 : Concept Builder (Topicwise)
  1. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

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  2. If a line with direction ration 2: 2: 1 intersects the lines (x-7)/3=(...

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  3. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

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  4. A line with direction cosines proportional to 2,1,2 meet each of the l...

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

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  6. The vector equation of the line of intersection of the planes vecr=vec...

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  7. find the equation of a plane passing through the points (2,-1,0) and (...

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  8. The planes 3x - y + z + 1 = 0 , 5x + y + 3z = 0 intersect in the line...

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  9. A variable plane moves so that the sum of the reciprocals of its inter...

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  10. What is the condition for the plane ax + by + cz + d = 0 to be perpend...

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  11. The plane x + 3y + 13 = 0 passes through the line of intersection of ...

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  12. Equation of the plane through the mid - point of the line segment join...

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  13. For what value (s) of a will the two points (1,a ,1)a n d(-3,0,a) l...

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  14. A vector vecn is inclined to x-axis at 45^(@), to y-axis at 60^(@) and...

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  15. A variable plane which remains at a constant distance 3p from the orig...

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  16. The ratio in which the join of the points A(2,1,5) and B(3,4,3) is div...

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  17. For the l:(x-1)/3=(y+1)/2=(z-3)/(-1) and the plane P:x-2y-z=0 of the f...

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  18. Find an equation or the line that passes through the point P(2,\ 3,\ 1...

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  19. The value of m for which straight line 3x-2y+z+3=0=4x-3y+4z+1 is paral...

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  20. The distance between the line vecr=2hati-2hatj+3hatk+lamda(hati-hatj...

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