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1.3 Coordinate Geometry in the x-y Plane

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Question 1

A curve K K\,K has parametric equations

x=3sin⁡t+2,y=2cos⁡2t−50≤t≤2π x = 3 \sin t + 2, \quad y = 2 \cos^2 t - 5 \quad 0 \leq t \leq 2\pi x=3sint+2,y=2cos2t−50≤t≤2π
a.

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

[3]
b.

Sketch the curve

[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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