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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 26

A curve is defined by the parametric equations

x=2cos⁡θ and y=2sin⁡θwhere 0≤θ≤2π x = 2\cos\theta \text{ and } y = 2\sin\theta \quad \text{where } 0 \le \theta \le 2\pi x=2cosθ and y=2sinθwhere 0≤θ≤2π

Which of the options shown below is a Cartesian equation for this curve?

yx=tan⁡θ\frac{y}{x} = \tan \thetaxy​=tanθ

x2+y2=4x^2 + y^2 = 4x2+y2=4

x2−y2=4x^2 - y^2 = 4x2−y2=4

x2+y2=2x^2 + y^2 = 2x2+y2=2

[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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