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Parametric Equations

Parametric Equations

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Question 18

A curve has the parametric equations

x=at+b,y=t2+c x = at + b, \quad y = t^2 + c x=at+b,y=t2+c

where aaa, b b\,b and c c\,c are constants and a>0a>0a>0.

a.

The curve crosses the xxx-axis at the points (3,0)(3, 0)(3,0) and (−1,0)(-1, 0)(−1,0) and crosses the yyy-axis at (0,−0.75)(0, -0.75)(0,−0.75).

Find the values of aaa, b b\,b and ccc.

[4]
b.

Find an expression for x x\,x in terms of dydx\displaystyle \frac{dy}{dx}dxdy​.

[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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