Point P (0, 2) is the point of intersection of Y - axis and perpendicular bisector of line segment joining the points A ( - 1, 1) and B (3, 3).

Question

State whether the following statement are true or false. Justify your answer.

Point P (0, 2) is the point of intersection of Y - axis and perpendicular bisector of line segment joining the points A ( - 1, 1) and B (3, 3).

Answer 1

False

We know that, the points lies on perpendicular bisector of the line segment joining the two points is equidistant from these two points.

So,

PA should be equals to the PB.

Now, with the help of distance formula;

∵ PA ≠ PB

As we can see that PA ≠ PB

So, the point P does not lie on the perpendicular bisector of AB.