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1.5 Coordinate Geometry

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Question 93

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

1.5 Coordinate Geometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Coordinate Geometry

178 exam-style questions on OCR (MEI) A Level Maths 1.5 Coordinate Geometry, covering 1.5.1 Equation of a straight line y = mx + c, 1.5.2 Gradients of parallel and perpendicular lines, 1.5.3 Distance between two points, 1.5.4 Midpoint of a line segment, 1.5.5 Form the equation of a straight line, 1.5.6 Draw a line given its equation, 1.5.7 Point of intersection of two lines, 1.5.8 Straight line models, 1.5.9 Intersection of a line and a curve, 1.5.10 Intersection of a line and a circle, 1.5.11 Equation of a circle, 1.5.12 Circle properties, 1.5.13 Parameter and parametric equations (A-level only), 1.5.14 Convert between cartesian and parametric forms (A-level only), 1.5.15 Equation of a circle in parametric form (A-level only), 1.5.16 Gradient of a parametric curve (A-level only), 1.5.17 Parametric equations in modelling (A-level only), and 1.5 Coordinate Geometry. Each one has a worked solution and a mark scheme showing where the marks go.

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