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A series of chords are drawn so that the...

A series of chords are drawn so that their projections on the straight line, which is inclined at an angle `a` to the axis, are of constant length `cdot` Prove that the locus of their middle point is the curve. `(y^2-4a x)(ycosalpha+2asinalpha)^2+a^2c^2=0.`

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