Higher November 2018 Paper 6 Q17
17 Find the exact coordinates of the two intersections of the line \(y = 2x\) and the circle \(x^2 + y^2 = 30\).
Not to scale
[5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \((\sqrt{6},\ 2\sqrt{6})\) and \((-\sqrt{6},\ -2\sqrt{6})\) | 5 | B4 for (\(x =\)) \(\pm\sqrt{6}\) or one intersection or M3 for \(x^2 = 6\) or M2 for \(x^2 + 4x^2 = 30\) or \(5x^2 = 30\) or M1 for \(x^2 + (2x)^2\) | Condone missing brackets for M1 |