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

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Question 36

A curve is defined by the parametric equations

x=2cos⁡θx = 2\cos\thetax=2cosθ, y=2sin⁡θy = 2\sin\thetay=2sinθ, where 0≤θ≤2π 0 \leq \theta \leq 2\pi\,0≤θ≤2π

One of the equations below is a Cartesian equation for this curve.

Identify this equation.

Tick one box.

A

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

B

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

C

x2−y2=4x^2 - y^2 = 4x2−y2=4

D

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

Markscheme

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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