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). state true or false and give reason

Answer 1

this is solution hope it will help you

Answer 2

Answer:

Step-by-step explanation:

Answer :-

False,

Explanation :-

For P (0, 2) to be the point of intersection of y- axis and the perpendicular bisector of the line joining the points A (- 1, 1) and B (3, 3) , P must be equipment from A and B.

i.e

PA = PB

by Distance Formula,

⇒ PA = √(- 4 -(4))² + (6 - 2)²

⇒ PA = √(0)² + (4)²

⇒ PA = 4

and,

⇒ PB = √(- 4 - 4)² + (- 6 - 2)²

⇒ PB = √(0)² + (- 8)²

⇒ PB = 8

We get,

PA ≠ PB

Hence, given statement is false.