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common tangent circle, parabola (II Soros Olympiad 1995-96 R2 10.4)

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June 3, 2024
geometryanalytic geometryparabolaconics

Problem Statement

Find the equation of the line tangent to the parabola y=1/3(x2āˆ’2x+4)y = 1/3(x^2-2x+4) and a circle of unit radius centered at the origin. (List all solutions.)
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