8. Coordinate geometry of the circle
- Syllabus
- 0606–2028–2029
- Topic
- 8
- Level
- —
8.1. Use circle equations
- Know and use the equation of a circle with radius r and centre (a, b).
- Identify the centre and radius from circle equations in any form, including (x - a)^2 + (y - b)^2 = r^2 and x^2 + y^2 + 2gx + 2fy + c = 0.
- The formula is given in the List of formulas.
8.2. Solve line-circle intersection problems
- Solve problems involving the intersection of a circle and a straight line.
- Find points of intersection and determine whether a line is a tangent, a chord or does not intersect the circle.
8.3. Solve tangent problems
- Solve problems involving tangents to a circle, including finding equations of tangents.
- No use of calculus is expected.
8.4. Solve circle-circle intersection problems
- Solve problems involving the intersection of two circles.
- Find points of intersection, find the equation of a common chord, and determine whether two circles intersect, touch or do not intersect.
Objective notes
4 learning objectivesConceptIGCSE Additional Math