Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Equations of circles

Question M0-13-05

The points \(P, Q\) and \(R\) have coordinates \((-4, 0), (-4, -8)\) and \((14, -8)\) respectively.

1. Find the equation of circle \(C\) that passes through \(P, Q\) and \(R\).
2. Show that \(PR\) is the diameter of \(C\).
3. Show that \(PQ\) is perpendicular to \(QR\).

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