Circles in Coordinate Geometry |Past Paper Questions Solved Step-by-Step

📐 Circles in Coordinate Geometry – Past Paper Practice with Full Solutions!

In this video, I give students a complete taste of past paper questions on the topic of Circles, a key sub-topic of coordinate geometry. This session is aimed at AS Level Pure Mathematics (P1) and O Level / Additional Mathematics students, but it’s equally valuable for anyone looking to strengthen their understanding of circles through exam-style practice.

✅ What’s covered in this video:

Proving a right angle on a circle and finding the centre and equation of the circle.

Tangents to circles from a given point — step-by-step algebraic proofs.

Finding radius and centre from an expanded circle equation and proving tangents using gradients.

Using diameters to form equations of circles, and working with reflections in tangents.

A full problem involving intersection of a line and circle, perpendiculars to the x-axis, and finding the perimeter of a shaded region.

Each question is solved carefully, with clear reasoning, examiner-style explanations, and tips on avoiding common mistakes students make in coordinate geometry questions.

🎯 Who this video is for:

AS Level Mathematics P1 students revising circles in coordinate geometry.

O Level & IGCSE Additional Mathematics students preparing for exams.

Any learner wanting extra practice on tangents, circle equations, and geometric reasoning.

By the end, you’ll feel much more confident in solving circle geometry problems in exams.

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