2023 YTSS P2 Q6

A curve has the equation \(y=x^3-2x+5\). The normal to the curve at \(x=1\) meets the \(y\)-axis at \(A\) and the \(x\)-axis at \(B\).

1. Find the area of triangle \(AOB\), where \(O\) is the origin.[6]
2. The tangent to the curve at \(x=1\) is parallel to the tangent at point \(Q\). Find the coordinates of \(Q\).[2]