Exercise 1 — Cambridge IGCSE 0580 Mar 2025 Paper 42 Q5
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Cambridge IGCSE·Mathematics 0580·Extended
Cartesian Coordinates 2D
Key knowledge — Co Ordinate Geometry
Formulas & equations
Distance between two points: d = √((x₂−x₁)² + (y₂−y₁)²)Midpoint: M = ((x₁+x₂)/2 , (y₁+y₂)/2)Equation of a line through (x₁,y₁) with gradient m: y−y₁ = m(x−x₁)Gradient: m = (y₂−y₁) ÷ (x₂−x₁)
Key facts & rules
- Parallel lines: same gradient.
- Perpendicular lines: gradients multiply to −1.
- The equation of a circle with centre (a,b) and radius r: (x−a)² + (y−b)² = r².
- A tangent to a circle is perpendicular to the radius at the point of contact.
IGCSE Co-ordinate geometry — Cartesian coordinates (2D) Practice Extended
2 Cambridge IGCSE 0580 questions on cartesian coordinates (2d) at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.
How to approach cartesian coordinates (2d) — open the study guide
Cartesian coordinates (2D) on IGCSE 0580
Practice with past paper questions on cartesian coordinates (2d) at the Extended tier.
Practice exercises
Exercise 2 — Cambridge IGCSE 0580 Jun 2024 Paper 21 Q1
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