| Exam Board | AQA |
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| Module | Further Paper 1 (Further Paper 1) |
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| Year | 2024 |
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| Session | June |
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| Marks | 4 |
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| Topic | Straight Lines & Coordinate Geometry |
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8 The ellipse \(E\) has equation
$$x ^ { 2 } + \frac { y ^ { 2 } } { 9 } = 1$$
The line with equation \(y = m x + 4\) is a tangent to \(E\)
Without using differentiation show that \(m = \pm \sqrt { 7 }\)
[0pt]
[4 marks]