Consider the tangent line to the ellipse x^2/a^2 + y^2/b^2 = 1 at a point (p,q) in the first quadrant. a) Find the x- intercept and y-intercept of the tangent line. b) Find the minimum length of the portion of the tangent line cut off by the coordinate axes. c) Find the minimum area of the triangle formed by the tangent line and the corrdinate axes.
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