Let the line parallel to x -axis is, y=c.....(i) Given lines, ax+2by=−3b....(ii) bx−2ay=3a.....(iii) Multiply by b in Eq. (ii) and by a in Eq. (iii), then subtract Eq. (ii) from Eq. (iii), abx+2b2y=−3b2 xab−2a2y=3a2 −+− ──────────── 2(a2+b2)y=−3(a2+b2) ⇒y=−
3
2
From Eq. (i), c=−
3
2
Hence, the line is, y=−
3
2
Which is passing through the point of intersection of the lines Eqs. (ii) and (iii) below the x -axis at a distance of