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Parametric Equations

Parametric Equations

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Question 18

A curve C1 C_1\,C1​ with parametric equations

x=5cos⁡t,y=3sin⁡t0≤t<2π x = 5 \cos t, \quad y = 3 \sin t \quad 0 \leq t < 2\pi x=5cost,y=3sint0≤t<2π

meets the circle C2 C_2\,C2​ with equation

x2+y2=16 x^2 + y^2 = 16 x2+y2=16

at four distinct points as shown in the diagram.

Cartesian axes show a circle C₂ and a wider-than-tall ellipse C₁ centred at the origin, intersecting once in each quadrant.

Find the Cartesian coordinates of the points of intersection.

[6]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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