If a , b , c are the direction ratios of a line joining the points 4 , 3 , - 5 and - 2 , 1 , - 8 then the…

Given $\left(a,b,c\right)$ are the direction ratios of a line joining the points $\left(4,3,-5\right)$ and $\left(-2,1,-8\right)$,

So $a=4-\left(-2\right)=6$, $b=3-1=2$ and $c=-5-\left(-8\right)=3$

Now putting the value of $a, b \& c$ in the point $P\left(a,3 b,2c\right)$ we get $P\left(6, 6, 6\right)$,

Now checking in all options in which $P\left(6, 6, 6\right)$ will lie,

We get $x+y-2z=0$ in which the given point lies.