Problem #177

If the tangent line to the ellipse
x^{2}/a^{2} +
y^{2}/b^{2} = 1
at a point in the first quadrant meets the xaxis
at P and the yaxis at Q, what is
the minimum length of segment PQ?

If O denotes the origin, what is the minimum value of the
area of triangle PQO?
The solution will be posted shortly.
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