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3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

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Question 19

A curve has the parametric equations

x=ln⁡(2t+1),y=t2−16,t>−0.5 x = \ln(2t + 1), \quad y = t^2 - 16, \quad t > -0.5 x=ln(2t+1),y=t2−16,t>−0.5
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

3.2 Co-ordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

75 exam-style questions on CCEA A Level Maths 3.2 Co-ordinate geometry in the (x, y) plane (A-level only), covering 3.2.1 Co-ordinate geometry in the (x, y) plane (A-level only) and 3.2.2 Co-ordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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