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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 12

A curve is defined by the parametric equations

x=2cos⁡θx = 2\cos\thetax=2cosθ, y=2sin⁡θy = 2\sin\thetay=2sinθ, where 0≤θ≤2π 0 \leq \theta \leq 2\pi\,0≤θ≤2π

One of the equations below is a Cartesian equation for this curve.

Identify this equation.

Select the correct answer.

A

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

B

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

C

x2−y2=4x^2 - y^2 = 4x2−y2=4

D

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