| Exam Board | OCR |
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| Module | Further Additional Pure AS (Further Additional Pure AS) |
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| Year | 2017 |
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| Session | December |
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| Topic | Invariant lines and eigenvalues and vectors |
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3 The surface with equation \(z = x ^ { 3 } + y ^ { 3 } - 6 x y\) has two stationary points; one at the origin and the second at the point \(A\). Determine the coordinates of \(A\).