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1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

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Question 15

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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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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