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1.3.7 Parametric equations of curves (A-level only)

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Question 36

The curve $C$ is defined by the parametric equations

\frac{1}{t} + 3 \quad y = \frac{2t - 1}{t + 2} \quad t > 0

Show that the equation of $C$ can be written in the form $y = g (x)$ where $g$ is the function

\frac{ax + b}{cx + d} \quad x > k

where $a, b, c, d$ and $k$ are integers to be found.

[5]

Hence, or otherwise, state the range of $g$ .

[3]

Markscheme

1.3.7 Parametric equations of curves (A-level only) Questions

A Level
Maths
1.3.7 Parametric equations of curves (A-level only)

49 exam-style questions on OCR A Level Maths 1.3.7 Parametric equations of curves (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.3.7 Parametric equations of curves (A-level only)

Question bank

1.3.7 Parametric equations of curves (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 36

The curve $C$ is defined by the parametric equations

\frac{1}{t} + 3 \quad y = \frac{2t - 1}{t + 2} \quad t > 0

Show that the equation of $C$ can be written in the form $y = g (x)$ where $g$ is the function

\frac{ax + b}{cx + d} \quad x > k

where $a, b, c, d$ and $k$ are integers to be found.

[5]

Hence, or otherwise, state the range of $g$ .

[3]

Markscheme

1.3.7 Parametric equations of curves (A-level only) Questions

A Level
Maths
1.3.7 Parametric equations of curves (A-level only)

49 exam-style questions on OCR A Level Maths 1.3.7 Parametric equations of curves (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.