Question

The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are

(a) (0, 2)

(b) (3, 0)

(c) (0, 3)

(d) (2, 0)

Answer 1

TO FIND: The coordinates of a point on x axis which lies on perpendicular bisector of line segment joining points (7, 6) and (−3, 4).

Let P(x, y) be any point on the perpendicular bisector of AB.

Then,by symmetry

$PA=PB$

On x-axis y is 0, so substituting y=0 we get x= 3

Hence the coordinates of point is i.e. option (b) is correct