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1.3 Coordinate Geometry in the x-y Plane

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Question 68

The curve C C\,C has parametric equations

x=2cos⁡t−1x = 2\cos t - 1x=2cost−1, y=4sin⁡2t+3y = 4\sin^2 t + 3y=4sin2t+3, where 0≤t≤2π0 \leq t \leq 2\pi0≤t≤2π

a.

Find an equation for C C\,C in the form y=f(x)y = f(x)y=f(x), and state the domain for which the curve is defined.

[4]
b.

Sketch the curve.

[2]
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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