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9709 P11 - Jun 2014 - Q7 - 6 marks
97

The coordinates of points A and B are \((a, 2)\) and \((3, b)\) respectively, where \(a\) and \(b\) are constants. The distance \(AB\) is \(\sqrt{125}\) units and the gradient of the line \(AB\) is 2. Find the possible values of \(a\) and \(b\).

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