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3.3 Coordinate geometry in the (x, y) plane (A-level only)

3.3 Coordinate geometry in the (x, y) plane (A-level only)

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Question 7

The curve C C\,C has parametric equations

x=3cos⁡θx = 3\cos\thetax=3cosθ, y=2sin⁡θy = 2\sin\thetay=2sinθ, where 0≤θ<2π0 \leq \theta < 2\pi0≤θ<2π

a.

Show that a Cartesian equation for C C\,C is x29+y24=1\dfrac{x^2}{9} + \dfrac{y^2}{4} = 19x2​+4y2​=1.

The point P P\,P on C C\,C has parameter θ=π3\displaystyle \theta = \frac{\pi}{3}θ=3π​.

[2]
b.

Show that the tangent to C C\,C at P P\,P has equation

2x+33y=122x + 3\sqrt{3}y = 122x+33​y=12

[5]
Markscheme

3.3 Coordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Coordinate geometry in the (x, y) plane (A-level only)

76 exam-style questions on WJEC A Level Maths 3.3 Coordinate geometry in the (x, y) plane (A-level only), covering 3.3.1 Coordinate geometry in the (x, y) plane (A-level only) and 3.3.2 Coordinate 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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