Study guide

IP AMaths Notes (Upper Sec, Year 3-4): 07) Parabolas and Circles

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Standard forms and locus techniques for conic questions in IP Additional Mathematics.

Last updated 30 Nov 2025

Marcus Pang
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Marcus Pang·Managing Director (Maths)

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  1. Start Here
  2. 1 Standard forms
  3. 2 Worked example - Circle from three points
  4. 3 Worked example - Tangent to a parabola
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 07) Parabolas and Circles cover?
A: Standard forms and locus techniques for conic questions in IP Additional Mathematics.

Upper-sec AMaths emphasises the ability to flip between algebraic equations and geometric interpretations of parabolas and circles.

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These forms sit within the SEAB GCE O-Level Additional Mathematics (4049) coordinate-geometry scope for circles. The parabola focus-directrix form is an extension to support locus reasoning; the core syllabus treats quadratic graphs primarily in the vertical y=ax2+bx+c y = ax^{2} + bx + c orientation.

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Sources

  1. SEAB GCE O-Level Additional Mathematics (4049) syllabus (examinations from 2025)