| Exam Board | AQA |
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| Module | Paper 1 (Paper 1) |
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| Year | 2021 |
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| Session | June |
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| Topic | Differential equations |
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11 A curve, \(C\), passes through the point with coordinates \(( 1,6 )\)
The gradient of \(C\) is given by
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { 6 } ( x y ) ^ { 2 }$$
Show that \(C\) intersects the coordinate axes at exactly one point and state the coordinates of this point.
Fully justify your answer.