Skip to content

Cambridge AS & A Level Mathematics

1.3Coordinate geometry

Coordinate geometry in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic40 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 1.3.1Find the equation of a straight line given sufficient information.
  2. 1.3.2Interpret and use the forms y = mx + c, y − y₁ = m(x − x₁) and ax + by + c = 0.
  3. 1.3.3Understand that (x − a)² + (y − b)² = r² is the circle with centre (a, b) and radius r.
  4. 1.3.4Solve problems on lines and circles with algebraic methods.
  5. 1.3.5Relate a graph to its equation and use points of intersection of graphs to solve equations.

Lessons

  • Coordinate geometry of straight lines

    40 min

    Full access
  • The equation of a circle

    45 min

    Full access

Join to read every lesson, or see what Full access includes.

Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Coordinate geometry: sample question

1 mark

Find the centre and radius of the circle x2+y2+8x−2y−8=0x^2 + y^2 + 8x - 2y - 8 = 0.

Choose one answer

Turn Coordinate geometry into a strength.

Practise with instant marking, see your mastery grow and get a study plan built around your exam date.