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KöMaL 2025 C1871

    The line through focus FF of the parabola x2−6x−4y+9=0x^2-6x-4y+9=0 and an arbitrary point PP of the parabola intersects the parabola at point QQ for the second time. Find the equation corresponding to the locus of the midpoints of line segment PQPQ.

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