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1.3 Coordinate Geometry in the x-y Plane

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Question 36

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

[3]
Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

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