Prove that the locus of the point of intersection of tangents to th...

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Prove that the locus of the point of intersection of tangents to the parabola \( y^{2}=4 a x \) which meet at an angle \( \alpha \) is \( (x+a)^{2} \tan ^{2} \alpha=y^{2}-4 a x \).
\( \mathrm{P} \)
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