| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2016 |
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| Session | November |
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| Topic | Straight Lines & Coordinate Geometry |
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5 The line \(\frac { x } { a } + \frac { y } { b } = 1\), where \(a\) and \(b\) are positive constants, intersects the \(x\) - and \(y\)-axes at the points \(A\) and \(B\) respectively. The mid-point of \(A B\) lies on the line \(2 x + y = 10\) and the distance \(A B = 10\). Find the values of \(a\) and \(b\).