The right angle bisector of the line segment joining points A(3,4) and B(−1,2) passes through the mid-point of A and B perpendicular to line segment AB. Now, the mid-point of A(3,4) and B(−1,2) is M(
3−1
2
,
4+2
2
)=M(1,3) and slope of right angle bisector is =−
3−(−1)
4−2
=−2 ∴ Equation of required right angle bisector is y−3=−2(x−1) ⇒2x+y=5 or 2x+y−5=0