0606 P21 - Nov 2019 - Q6 - 7 marks
8359
Do not use a calculator in this question.
The curve \(xy=11x+5\) cuts the line \(y=x+10\) at the points \(A\) and \(B\). The midpoint of \(AB\) is the point \(C\). Show that the point \(C\) lies on the line \(x+y=11\).
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