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

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Question 43

A curve C C\,C has the parametric equations

x=4sec⁡tx = 4\sec tx=4sect, y=7tan⁡ty = 7\tan ty=7tant, where 0≤t<π2\displaystyle 0 \leq t < \frac{\pi}{2}0≤t<2π​

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

49x2−16y2=78449x^2 - 16y^2 = 78449x2−16y2=784

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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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