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If 1,m ,n are the direction cosines of t...

If 1,m ,n are the direction cosines of the line of shortest distance between the lines `(x-3)/(2) = (y+15)/(-7) = (z-9)/(5) and (x+1)/(2) = (y-1)/(1) = (z-9)/(-3) ` then :

A

`4sqrt(5)`

B

`4sqrt(17)`

C

`4sqrt(3)`

D

`8sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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The shortest distance between the lines (x-3)/(2) = (y +15)/(-7) = (z-9)/(5) and (x+1)/(2) = (y-1)/(1) = (z-9)/(-3) is :

Find the shortest distance between the lines (x-23)/(-6) = (y-19)/(-4) = (z-25)/(3) and (x-12)/(-9) = (y-1)/(4)= (z-5)/(2).

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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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

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