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

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Question 73

A curve has the parametric equations

x=ln⁡(t+1)x = \ln(t + 1)x=ln(t+1), y=t2−5y = t^2 - 5y=t2−5, where t>−1t > -1t>−1

a.

Find the points where the curve crosses the coordinate axes. Give the coordinates in exact form.

[2]
b.

Find an equation for the tangent to the curve at the point where t=3t = 3t=3.

[5]
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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