Question

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).

पर्याय

• True

• False

Answer 1

This statement is False.

Explanation:

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

i.e., PA should be equals to the PB.

Using distance formula,

d = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

PA = `sqrt([-4 - (4)]^2 + (6 - 2)^2`

PA = `sqrt((0)^2 + (4)^2` = 4

PB = `sqrt([-4 - 4]^2 + (-6 - 2)^2`

PB = `sqrt(0^2 + (-8)^2` = 8

∵ PA ≠ PB