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The shortest distance between the straig...

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

A

9

B

`(25)/(3)`

C

`(16)/(3)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Given lines can be rewritten as ` (x -6)/(1) = (y-2)/(-2) = (Z-2)/(2) and (x+4)/(3) =(y)/(-2) =(z-1)/(-2)`
Here ,`" "x_(1) = 6, y_(1) = 2 , z_(1) =2 `
` x_(2) = - 4 , y_(2) 0 , z_(2) = 1`
`a_(1)=1, b_(1) = - 2 , c_(1) = 2`
and `" "a_(2) = 3,b_(2) = - 2 2,c_(2) = -2`
Now
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