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Parametric Equations

Parametric Equations

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Question 140

The curve C C\,C has parametric equations

x=3−2tt+1y=3t+1t+10≤t≤5 x = \frac{3 - 2t}{t + 1} \quad y = \frac{3t + 1}{t + 1} \quad 0 \leq t \leq 5 x=t+13−2t​y=t+13t+1​0≤t≤5

It is given that C C\,C is part of the straight line y=−25x+115\displaystyle y = -\frac{2}{5}x + \frac{11}{5}y=−52​x+511​ and that the length of the line segment is 5296\displaystyle \frac{5\sqrt{29}}{6}6529​​.

a.

Verify that C C\,C is part of a straight line.

[3]
b.

Verify that the length of the line segment is 5296\displaystyle \frac{5\sqrt{29}}{6}6529​​.

[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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