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

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Question 18

A curve has the parametric equations

x=ln⁡(t+4),y=t2−25,t>−4 x = \ln(t + 4), \quad y = t^2 - 25, \quad t > -4 x=ln(t+4),y=t2−25,t>−4
a.

Find the points where the curve crosses the coordinate axes.

[2]
b.

Find an equation for the tangent to the curve when t=1t = 1t=1.

[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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