A) \[\frac{1}{4}\]
B) \[\frac{1}{8}\]
C) \[\frac{1}{2}\]
D) \[-\frac{1}{4}\]
Correct Answer: A
Solution :
Let A is\[(1-3\mu ,\mu -1,2+5\mu )\] |
\[\overrightarrow{AB}=(3\mu +2)i+(3-\mu )j+(4-5\mu )\] |
\[\hat{k}\]which is parallel to plane \[x-4y+3z=1\] |
\[\Rightarrow \] \[1(3\mu +2)-4(3-\mu )+3(4-5\mu )=0\] |
\[\Rightarrow \] \[-8\mu +2=0\] |
\[\Rightarrow \] \[\mu =\frac{1}{4}\] |
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