Question

Point P is the centre of the circle and AB is a diameter. Find the co-ordinates of point B if co-ordinates of point A and P are (2, -3) and (-2, 0) respectively.

Answer 1

Let A (x₁, y₁), B (x₂, y₂) and P (x, y) be the given points.

Here, x₁ = 2, y₁ = -3,

x = -2, y = 0

Point P is the midpoint of seg AB. 

∴ By midpoint formula,

∴ The co-ordinates of point B are (-6, 3).