A) \[\frac{20}{3}\]
B) \[3\sqrt{10}\]
C) \[10\sqrt{3}\]
D) \[\frac{10}{\sqrt{3}}\]
Correct Answer: C
Solution :
Equation of line parallel to x = y = z through (1, ?5, 9) is\[\frac{x-1}{1}=\frac{y+5}{1}=\frac{z-9}{1}=\lambda \] If \[P(\lambda +1,\lambda -5\lambda +9)\] be point of intesection of line and plane. \[\Rightarrow \]\[\lambda +1-\lambda +5+\lambda +9=5\] \[\Rightarrow \]\[\lambda =-10\] \[\Rightarrow \]Coordinates point are (?9, ?15, ?1) \[\Rightarrow \]Required distance \[=10\sqrt{3}\]You need to login to perform this action.
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