Prove that the normal at \( \left(\mathrm{am}^{2},-2 \mathrm{am}\right) \) to the parabola \( y^...

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Prove that the normal at \( \left(\mathrm{am}^{2},-2 \mathrm{am}\right) \) to the parabola \( y^{2}=4 a x \) intersects the parabola again at an angle \( \tan ^{-1}\left|\frac{m}{2}\right| \).
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