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

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Question 88

A research drone is programmed to follow a specific surveillance path during a flight test. Its position (x,y)(x, y)(x,y) in kilometers relative to a base station at time t t\,t is given by the parametric equations

x=4sec⁡tandy=7tan⁡twhere 0≤t<π2 x = 4\sec t \quad \text{and} \quad y = 7\tan t \quad \text{where } 0 \le t < \frac{\pi}{2} x=4sectandy=7tantwhere 0≤t<2π​

Which of the options shown below is a Cartesian equation for the drone's path?

x216+y249=1\frac{x^2}{16} + \frac{y^2}{49} = 116x2​+49y2​=1

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

16x2−49y2=78416x^2 - 49y^2 = 78416x2−49y2=784

x2−y2=33x^2 - y^2 = 33x2−y2=33

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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

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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