Coordinate Geometry: Proven Method to Show PR is the Diameter of the Circle

In Coordinate Geometry, many upper Secondary students encounter questions that test their understanding of circles, diameters, and how to apply midpoint and gradient concepts together. Here’s a classic example:

Question: In the diagram which is not drawn to scale, P, Q and R are points on the circle. Show that PR is the diameter of the circle and hence find the centre of the circle.

This type of question on Coordinate Geometry is commonly found in tests and exams, and often requires more than a quick glance at the diagram. Getting it right depends on understanding the relationships between the points and applying the right method.

For students who need homework help or just a second opinion on their working, having on-demand homework help makes a big difference. Scroll down to see how the solution unfolded step by step, in a real chat between student and mentor.