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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 41

A curve has the parametric equations

x=sin⁡2tx = \sin^2 tx=sin2t, y=sin⁡2ty = \sin 2ty=sin2t, where 0<t<π0 < t < \pi0<t<π

a.

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

[3]
b.

Find an equation for the normal to the curve at the point where t=π6\displaystyle t = \frac{\pi}{6}t=6π​.

[4]
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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