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Mathematics Question on Coplanarity of Two Lines

The lines x−21=y−31=z−4−K\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-K} and x−1K=y−42=z−51\frac{x-1}{K}=\frac{y-4}{2}=\frac{z-5}{1} are coplanar if :

A

K=0K=0 or K=−1K=-1

B

K=1K=1 or K=−1K=-1

C

K=0K=0 or K=−3K=-3

D

K=3K=3 or K=−3K=-3

Answer

K=0K=0 or K=−3K=-3

Explanation

Solution

The correct option is (C): K=0K=0 or K=−3K=-3