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Show that all the chords of the curve 3x...

Show that all the chords of the curve `3x^2 – y^2 – 2x + 4y = 0` which subtend a right angle at the origin are concurrent. Does this result also hold for the curve, `3x^2 + 3y^2 – 2x + 4y = 0` ? If yes, what is the point of concurrency and if not, give reasons.

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