If \( r_{1}, r_{2} \) be the length of the perpendicular chords of ...

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If \( r_{1}, r_{2} \) be the length of the perpendicular chords of the parabola \( y^{2}=4 a x \) drawn through the vertex, then
\( \mathrm{P} \) show that \( \left(r_{1} r_{2}\right)^{43}=16 a^{2}\left(r_{1}^{23}+r_{2}^{23}\right) \).

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