Q : 13 Find the equation of the right bisector of the line segment joining the points and .
Right bisector means perpendicular line which divides the line segment into two equal parts
Now, lines are perpendicular which means their slopes are negative times inverse of each other
Slope of line passing through points and is
Therefore, Slope of bisector line is
Now, let (h , k) be the point of intersection of two lines
It is given that point (h,k) divides the line segment joining point and into two equal part which means it is the mid point
Now, equation of line passing through point (1,3) and with slope -2 is