A line \( A B \) makes intercepts of length \( a \) and \( b \) on the coordinate axes. Find the...

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A line \( A B \) makes intercepts of length \( a \) and \( b \) on the coordinate axes. Find the equation of the parabola passing through \( A \), \( B \) and the origin, if \( A B \) is the shortest focal chord of the parabola.
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