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Parametric Equations

Parametric Equations

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Question 137

A curve C C\,C has equation

y=(x−1)2+1,x∈R y = (x-1)^2 + 1, \quad x \in \mathbb{R} y=(x−1)2+1,x∈R
a.

Find parametric equations for C C\,C in the form x=tan⁡t+ax = \tan t + ax=tant+a, y=sec⁡2t+by = \sec^2 t + by=sec2t+b and state the values of t t\,t for which the curve is defined, where 0≤t≤2π0 \leq t \leq 2\pi0≤t≤2π.

[3]
b.

Sketch the curve

[3]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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