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The points $A$ and $B$ have coordinates $(a, 2)$ 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 $2$. Determine the possible values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
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