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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 231

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

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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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