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LearnEdexcelYMA012018 specificationWMA12 · Pure Mathematics 2Coordinate geometry in the (x, y) plane
WMA12 · Module

Coordinate geometry in the (x, y) plane

2 subtopics≈ 85 min in total
Start the module: The equation of a circleOpen graphing calculator

  1. The equation of a circle

    Why (x−a)2+(y−b)2=r2(x-a)^2+(y-b)^2=r^2 is a circle, how to find the centre and radius from the expanded form by completing the square, and how to use diameters and right angles to find a circle's equation.

    ≈ 40 min

  2. Tangents, chords and intersections

    The two right angles that unlock circle questions (tangent and radius, centre and chord), and how substituting a line into a circle or curve turns geometry into a quadratic whose discriminant tells you how they meet.

    ≈ 45 min