9709 P12 - Jun 2016 - Q8
88
Three points have coordinates \(A(0, 7)\), \(B(8, 3)\), and \(C(3k, k)\). Find the value of the constant \(k\) for which:
- \(C\) lies on the line that passes through \(A\) and \(B\).
- \(C\) lies on the perpendicular bisector of \(AB\).
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