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Question

Mathematics Question on Various Forms of the Equation of a Line

If lines x13=y22k=z32\frac{x-1}{-3}=\frac{y-2}{2k}=\frac{z-3}{2} and x13k=y51=z65\frac{x-1}{3k}=\frac{y-5}{1}=\frac{z-6}{-5} are mutually perpendicular then k is equal to

A

107-\frac{10}{7}

B

710-\frac{7}{10}

C

-10

D

-7

Answer

107-\frac{10}{7}

Explanation

Solution

The correct answer is Option (A) : 107-\frac{10}{7}