Question

The equation of the right bisector plane of the segment joining $(2,3,4)$ and $(6,7,8)$ is

• A. $x+y+z+15=0$
• B. $x + y + z -15=0$
• C. $x-y+z-15=0$
• D. None of these

Answer 1

Answer: (B)

$M \equiv(4,5,6)$
plane passes through 4, 5, 6
$\therefore A ( x -4)+ B ( y -5)+ C ( z -5)=0$
$A, B, C $ are $4,4,4$
$\therefore \text { equation is } x -4+ y -5+ z -6=0 $
$\Rightarrow x + y + z =15$