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1.6 C: Coordinate geometry in the (x, y) plane

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Question 34

A curve is defined by the parametric equations

x=2cos⁡θ and y=2sin⁡θwhere 0≤θ≤2π x = 2\cos\theta \text{ and } y = 2\sin\theta \quad \text{where } 0 \le \theta \le 2\pi x=2cosθ and y=2sinθwhere 0≤θ≤2π

Which of the options shown below is a Cartesian equation for this curve?

yx=tan⁡θ\frac{y}{x} = \tan \thetaxy​=tanθ

x2+y2=4x^2 + y^2 = 4x2+y2=4

x2−y2=4x^2 - y^2 = 4x2−y2=4

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

[3]
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1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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