2.
\includegraphics[max width=\textwidth, alt={}, center]{e0c7b6f3-9c28-48bd-a401-635efb2521e3-06_562_1118_185_614} The figure above shows a triangle with vertices at \(A ( 2,6 ) , B ( 11,6 )\) and \(C ( p , q )\).
a) Given that the point \(D ( 6,2 )\) is the midpoint of \(A C\), determine the value of \(p\) and the value of \(q\). The straight line \(l\), passes through \(D\) and is perpendicular to \(A C\).
The point \(E\) is the intersection of \(l\) and \(A B\).
b) Find the coordinates of \(E\).
(4)
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