A) \[6\sqrt{5}\]
B) \[3\sqrt{5}\]
C) \[2\sqrt{42}\]
D) \[\sqrt{42}\]
Correct Answer: C
Solution :
Line \[PQ:\frac{x-1}{1}=\frac{y+2}{4}=\frac{z-3}{5}\] Let \[F(\lambda +1,4\lambda -2,5\lambda +3)\] F lies on the plane \[2(\lambda +1)+3(4\lambda -2)-4(5\lambda +3)+22=0\] \[\Rightarrow \]\[-6\lambda +6=0\Rightarrow \lambda =1\] \[F(2,2,8)\] \[PQ=2\,PF=2\sqrt{42}.\]You need to login to perform this action.
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