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The tangent line to the parabola y = 1 / 4 x 2 at the point P(a,b) intersects with the line y=-1 at point A.

The tangent line to the parabola y=1/4x2at the point P(a,b) intersects with the line y=-1 at point A.

a) Determine the coordinates of the point A, in terms of a.

b) Given that B is the point (0,1), show that for alla=0,ABP is a right angle.

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