If the perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y-intercept - 4. Then, a possible value of k, is

The coordinates of the mid-point of PQ are k+12,72.     Slope of PQ=4−31−k=11−k∴  Slope of the perpendicular bisector of PQ is (k -1).The equation of the perpendicular bisector of PQ, is           y−72=(k−1)x−k+12It passes through (0, - 4)∴ −152=−k2−12⇒k=±4