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

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Question 20

A curve has the parametric equations

3\sin^2 \theta, \quad y = 2\cos \theta, \quad 0 < \theta < \pi

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $θ\theta$ .

[3]

Find an equation of the normal to the curve when $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

[5]

Find a cartesian equation for the curve.

[4]

Markscheme

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

A Level
Maths
3.2.1 Co-ordinate geometry in the (x, y) plane (A-level only)

49 exam-style questions on CCEA A Level Maths 3.2.1 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.

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

Question bank

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

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

Question 20

A curve has the parametric equations

3\sin^2 \theta, \quad y = 2\cos \theta, \quad 0 < \theta < \pi

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $θ\theta$ .

[3]

Find an equation of the normal to the curve when $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

[5]

Find a cartesian equation for the curve.

[4]

Markscheme

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

A Level
Maths
3.2.1 Co-ordinate geometry in the (x, y) plane (A-level only)

49 exam-style questions on CCEA A Level Maths 3.2.1 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.