The line \(y=3x-2\) intersects the curve \(2x^2-xy+y^2=2\) at the points \(A\) and \(B\). The point \(C\) with coordinates \(\left(k,\dfrac78\right)\) lies on the perpendicular bisector of the line \(AB\). Find the exact value of \(k\).[9]
The point \(D\) lies on the perpendicular bisector of \(AB\) such that \(D\) is a reflection of \(C\) in the line \(AB\). Find the coordinates of \(D\).[2]
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