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Let P be a variable point on the parabola y^2 = 2x  and Let B and C be points on the y-axis so that the circle (x - 4)^2 + y^2 = 1 is inscribed in triangle PBC. Find the minimum area of triangle PBC.

 May 14, 2021
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The minimum area is 25.

 May 14, 2021

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