If the points A(4

The distance of any point which lies on the circumference of the circle from the centre of the circle is called radius.

∴ OA = OB = Radius of given Circle

taking square on both sides, we get-

OA² = OB²

⇒ (2-4)² + (3-3)² = (2-x)² + (3-5)²

[using distance formula, the distance between points (x₁,y₁) and (x₂,y₂) is equal to units.]

⇒ (-2)² + 0 = x²-4x + 4 + (-2)²

⇒ x²-4x + 4 = 0

⇒ (x-2)² = 0

∴ x = 2

Thus, the value of x is 2.