2.7: Midpoint of intersection points lies on a line

0606/21/O/N/19 — Question 6 · 7 marks

Do not use a calculator in this question.

The curve xy=11x+5xy = 11x + 5 cuts the line y=x+10y = x + 10 at the points AA and BB. The mid-point of ABAB is the point CC.
Show that the point CC lies on the line x+y=11x + y = 11.
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