2025 IGCSE Additional Mathematics October/November 0606/22 Q1

The line \(y=4x-3\) meets the curve \(y=3+5x-2x^2\) at the points \(A\) and \(B\).

1. Find the coordinates of \(A\) and \(B\).[4]
2. The perpendicular bisector of the line \(AB\) cuts the coordinate axes at the points \(P\) and \(Q\).
   Given that \(O\) is the origin, find the area of the triangle \(POQ\).[5]