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Question

Mathematics Question on Three Dimensional Geometry

Shortest distance between lines (x5)4\frac{(x-5)}{4}=(y3)6\frac{(y-3)}{6}=(z2)4\frac{(z-2)}{4} and (x3)7=(y2)5=(z9)6\frac{(x-3)}{7}=\frac{(y-2)}{5}=\frac{(z-9)}{6} is ?

A

19037\frac{190}{37}

B

190756\frac{190}{\sqrt{756}}

C

37190\frac{37}{190}

D

756190\frac{756}{\sqrt{190}}

Answer

190756\frac{190}{\sqrt{756}}

Explanation

Solution

The correct option is (B): 190756\frac{190}{\sqrt{756}}