Paper 2 · Co-ordinate Geometry of the Circle ⏱ Tested in 3 exam questions since 2019 Lesson 3 of 9

The Circle 3 – Proving a point is: on a circle, inside a circle or outside a circle

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You’ll learn

  • Prove a point lies on a circle by substituting its coordinates into the equation
  • Prove inside/outside by comparing the point's distance from the centre to the radius
  • Normalise equations like 2x² + 2y² + … by dividing by 2 before finding centre and radius
  • Compare surds directly (√17 < √20) without decimalising

Most recent exam questions

  • 2025 P2 Q7(c)(ii)
  • 2024 P2 Q9(a)(ii)
  • 2024 P2 Q9(a)(iii)
  • 2019 P2 Q3(a)

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