At any point \( P \) on the parabola \( y^{2}-2 y-4 x+5=0 \) a tang...

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At any point \( P \) on the parabola \( y^{2}-2 y-4 x+5=0 \) a tangent is drawn which meets the directrix at \( Q \). Find the locus of point \( R \), which divides \( Q P \) externally in the
P ratio \( \frac{1}{2}: 1 \).
(2004, 4M)
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