| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2014 |
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| Session | June |
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| Topic | Straight Lines & Coordinate Geometry |
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7 The coordinates of points \(A\) and \(B\) are \(( a , 2 )\) and \(( 3 , b )\) respectively, where \(a\) and \(b\) are constants. The distance \(A B\) is \(\sqrt { } ( 125 )\) units and the gradient of the line \(A B\) is 2 . Find the possible values of \(a\) and of \(b\).