What can we say if this hyperbola and parabola meet at right angles?

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The curves \(y^2=4ax\) and \(xy=c^2\) intersect at right angles. Prove that

1. \(c^4=32a^4\) and

2. if the tangent and normal to either curve at the point of intersection meet the \(x\)-axis at \(T\) and \(G\), then \(TG=6a\).