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If the shortest distance between the lines `(x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is lambdasqrt(30)` unit, then the value of `lambda` is

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The correct Answer is:
27
`S.D. = (|{:(,6,15,-3),(,3,-1,1),(,-3,2,4):}|)/(sqrt(4+2)^(2)+(12+3)^(2)+(6-3)^(2))=(270)/(sqrt(270)=sqrt(270)=3sqrt30`
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