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

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Question 44

A curve C C\,C has the parametric equations

x=2tx = 2^tx=2t, y=22t+1y = 2^{2t} + 1y=22t+1, where t∈Rt \in \mathbb{R}t∈R

Show that a Cartesian equation for C C\,C is y=x2+1y = x^2 + 1y=x2+1, and state the range of values of x x\,x for which C C\,C is defined.

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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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