MCQ
The equation of the line bisecting perpendicularly the segment joining the points $(-4, 6)$ and $(8, 8)$ is
- ✓$6x + y - 19 = 0$
- B$y = 7$
- C$6x + 2y - 19 = 0$
- D$x + 2y - 7 = 0$
==> $6y - 36 = x + 4$ ==> $6y - x - 40 = 0$ ……$(i)$
Now equation of any line perpendicular to it is
$6x + y + \lambda = 0$ ……$(ii)$
This line passes through the mid point of $( - 4,\,6)$ and $(8,\,8)$ i.e., $(2,\,7)$==> $6 \times 2 + 7 + \lambda = 0$
==> $19 + \lambda = 0 \Rightarrow \lambda = - 19$
From $(ii)$ the equation of required line is $6x + y - 19 = 0$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.