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Parametric Equations

Parametric Equations

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Question 105

The curve C C\,C has parametric equations

x=1−tt+1y=2t+1t+10≤t≤1 x = \frac{1 - t}{t + 1} \quad y = \frac{2t + 1}{t + 1} \quad 0 \leq t \leq 1 x=t+11−t​y=t+12t+1​0≤t≤1
a.

Find t t\,t in terms of xxx.

[1]
b.

Hence show that C C\,C is part of a straight line.

[2]
c.

Find the length of the line segment.

[2]
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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