Coordinate Geometry

Geometry turned into algebra — in two dimensions only.

• An Overview — the big idea, the language, the key formulae and the common mistakes

The specification statements

• CG1–CG2 · Straight Lines — distance, mid-point, gradient, and the equation of a line
• CG3 · The Geometry of Circles — the equation (x − a)² + (y − b)² = r², tangents, and lines meeting circles
• CG4 · Sketching Curves — linear, polynomial, trigonometric and exponential graphs
• CG5 · Tangents and Normals — gradient, intercept, tangent and normal in problems
• CG6–CG8 · Linear Programming — feasible regions, objective functions, and 2-D optimisation

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Each page has step-by-step notes, several worked examples, a quick-reference grid and ten practice questions with fully worked solutions.