Question

The line joining the points $(-2,1,-8)$ and $(a,b,c)$ is parallel to the line whose direction ratios are $6,2,3$. The value of $a,b,c$ are

• A. $(4,3,-5)$
• B. $(1,2,-13/2)$
• C. $(10,5,-2)$
• D. $(-5,3,4)$

Answer 1

The correct option is A $(4,3,-5)$

If lines are parallel

then their direction

ratios must be equal

$\Rightarrow a+2=6$

$a=4$

$b-1=2$

$b=3$

$c+8=3$

$c=-5$

$\therefore (a,b,c)$ is $(4,3,-5)$