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

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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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 $y = ax^{2} + bx + c$ orientation.

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

Standard forms

Circle with centre $(a, b)$

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

Standard forms

Worked example 1 - Circle from three points

Worked example 2 - Tangent to a parabola

Worked example 3 - Circle with centre on the $x$ -axis

Practice Quiz

Try this

Related Posts

Standard forms

Worked example 1 - Circle from three points

Worked example 2 - Tangent to a parabola

Worked example 3 - Circle with centre on the x x x-axis

Practice Quiz

Try this

Related Posts

Worked example 3 - Circle with centre on the $x$ -axis