Prove that the normals at the points, where the straight line \( \l...

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Prove that the normals at the points, where the straight line \( \left(x+m y=1\right. \) meets the parabola \( y^{2}=4 a x \),
\( \mathrm{P} \) meet on the normal at the point \( \left(\frac{4 \mathrm{am}^{2}}{\ell^{2}}, \frac{4 \mathrm{am}}{\ell}\right) \) on the parabola.

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