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

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Question 55

A curve C C\,C has parametric equations

x=3+2cos⁡t,y=2+4cos⁡2t0≤t≤2π x = 3 + 2 \cos t, \quad y = 2 + 4 \cos 2t \quad 0 \leq t \leq 2\pi x=3+2cost,y=2+4cos2t0≤t≤2π
a.

Find an equation for C C\,C in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.

[5]
b.

Sketch the curve

[3]

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

Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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