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Question

Mathematics Question on Shortest Distance between Two Lines

Let the line x1=6y2=z+85\frac{x}{1}=\frac{6−y}{2}=\frac{z+8}{5} intersect the lines x51=y73=z+21\frac{x-5}{1}=\frac{y-7}{3}=\frac{z+2}{1} and x+36=3y3=z61\frac{x+3}{6}=\frac{3−y}{3}=\frac{z-6}{1} at the points A and B respectively. Then the distance of the mid-point of the line segment AB from the plane 2x – 2y + z = 14 is

A

103\frac{10}{3}

B

113\frac{11}{3}

C

4

D

3

Answer

4

Explanation

Solution

The correct option is(C): 4