$A(1,2)$ & $B(7,6)$ are the two opposite points of straight line (i.e) these two points are on opposite side of a straight line then find a equation of straight line which is equidistant from these two points and also AB is perpendicular to the straight line.

Question

$\begin{array}{1 1}(a)\;2y+3x=20\\(b)\;3y+2x=20\\(c)\;y+3x=10\\(d)\;2y+x=20\end{array}$