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

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Question 6

A curve has the parametric equations

x=2cos⁡2t,y=sin⁡2t,0<t<π2 x = 2\cos^2 t, \quad y = \sin 2t, \quad 0 < t < \frac{\pi}{2} x=2cos2t,y=sin2t,0<t<2π​
a.

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

[3]
b.

Find an equation of the normal to the curve when t=π6\displaystyle t = \frac{\pi}{6}t=6π​.

[5]
c.

Find a cartesian equation for the curve.

[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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