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Let P(a, b) be a point in the parabola y = 1-x, where a > 0. Suppose is the tangent line to the parabola


 

Let P(a, b) be a point in the parabola y = 1-x, where a > 0. Suppose is the tangent line to the parabola at P. Then and the x- and y-axes form a triangle. Find the coordinates of P if this triangle has minimum area.

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