Chords of the hyperbola x - y = a touch the parabola y = 4ax. Prove...
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Chords of the hyperbola x² - y² = a² touch the parabola y² = 4ax. Prove that the locus of their middle points is the curve y² (x - a) = x³. Chords of the hyperbola x² - y² = a² touch the parabola y² = 4ax. Prove that the locus of their middle points is the curve y² (x - a) = x³.
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