Pure · SS2–SS3

Conic sections

Parabolas, ellipses and hyperbolas as curves on the plane.

Before this: Coordinate geometry & circles

Learn

1The parabola and the ellipseThe parabola y² = 4ax with its focus and directrix, the ellipse x²/a² + y²/b² = 1, and tangents to them by implicit differentiation.Done14 min

Flashcards

5 cards: the rules, facts and methods to know by heart, with the diagrams from the lessons. They come back until you know them.

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Practise

Answer conic sections questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (2)

From 2011–2023: 1 WAEC, 1 NECO. Theory questions first, then objective, newest first.

Theory (1)

WAEC 2011 · Paper 2 · Q12Find the equation of the tangent to the curve $\dfrac{x^2}{4} + y^2 = 1$ at the point $\left(1, \dfrac{\sqrt3}{2}\right)$ .

Objective (1)

NECO 2023 · Paper 1 · Q28Find the focus and directrix of the parabola $y^2 = 64x$ .