| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | June |
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| Topic | Straight Lines & Coordinate Geometry |
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9 The curve \(C _ { 1 }\) has equation \(y = x ^ { 2 } - 4 x + 7\). The curve \(C _ { 2 }\) has equation \(y ^ { 2 } = 4 x + k\), where \(k\) is a constant. The tangent to \(C _ { 1 }\) at the point where \(x = 3\) is also the tangent to \(C _ { 2 }\) at the point \(P\). Find the value of \(k\) and the coordinates of \(P\).