Paper 2 · Co-ordinate Geometry of the Circle ⏱ Tested in 5+ recent exam questions Lesson 7 of 9

The circle 7 Find the equation of the tangent to the circle at the point.

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You’ll learn

  • Find the tangent at a point: radius slope → negative reciprocal → point-slope form
  • Find the two tangents parallel to a line using perpendicular distance = radius
  • Choose the technique from the wording: 'at the point' vs 'parallel to the line'
  • Split the modulus equation into ± cases to get both parallel tangents

Most recent exam questions

  • 2025 P2 Q2(a)(ii)
  • 2024 P2 Q9(b)
  • 2023 P2 Q2(a)(ii) — deferred
  • 2023 P2 Q2(b) — deferred
  • 2023 P2 Q9(c)(ii)

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