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

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Question 32

A curve C C\,C has the parametric equations

x=5−3sin⁡tx = 5 - 3\sin tx=5−3sint, y=4+2cos⁡ty = 4 + 2\cos ty=4+2cost, where 0≤t<2π 0 \leq t < 2\pi\,0≤t<2π

Show that a Cartesian equation for C C\,C is

(x−5)29+(y−4)24=1\displaystyle \frac{(x - 5)^2}{9} + \frac{(y - 4)^2}{4} = 19(x−5)2​+4(y−4)2​=1

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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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