The shortest distance between the straighat lines through the point `A_1=(6,2,2) and A_2=(-4,0,-1)` in the directions 1,-2,2 and 3,-2,-2 is (A) 6 (B)
The shortest distance between the straighat lines through the point `A_1=(6,2,2) and A_2=(-4,0,-1)` in the directions 1,-2,2 and 3,-2,-2 is (A) 6 (B) 8 (C) 12 (D) 9
A. 6 units
B. 8 units
C. 12 units
D. 9 units
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Correct Answer - D
Given line in `(x)/(1) = (y-1)/(2) = (z-2)/(3)`
`rArr " "(x)/(1) = (y-1)/(2) = (z-2)/(3) = lambda`
`rArr " " x = lambda , y = 2lambda + 1,z = 3lambda + 2`
`rArr " "Q(lambda,2lambda+13lambda+2)`
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