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1.6 C: Coordinate geometry in the (x, y) plane

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Question 61

A curve has the parametric equations

x=e2tx = e^{2t}x=e2t, y=t2+1y = t^2 + 1y=t2+1, where t∈Rt \in \mathbb{R}t∈R

a.

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

[3]
b.

Find an equation for the tangent to the curve at the point where t=1t = 1t=1.

[4]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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