2 Two polar curves, \(C _ { 1 }\) and \(C _ { 2 }\), are defined by \(C _ { 1 } : r = 2 \theta\) and \(C _ { 2 } : r = \theta + 1\) where \(0 \leqslant \theta \leqslant 2 \pi\). \(C _ { 1 }\) intersects the initial line at two points, the pole and the point \(A\).
- Write down the polar coordinates of \(A\).
- Determine the polar coordinates of the point of intersection of \(C _ { 1 }\) and \(C _ { 2 }\).
The diagram below shows a sketch of \(C _ { 1 }\).
\includegraphics[max width=\textwidth, alt={}, center]{007f07ee-cb29-4a97-93d9-2328079c4aea-2_681_1353_1318_244} - On the copy of this sketch in the Printed Answer Booklet, sketch \(C _ { 2 }\).