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Let \(T = (a, 9 - a^2)\) be a point on the parabola \(y = 9 - x^2\), for some positive rational number \(a\). The tangent to the parabola at \(T\) and the coordinate axes form a triangle with area \(25\). Find \(a\).

 Sep 4, 2022
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a = 14.

 Sep 5, 2022

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