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What is the smallest possible area of the triangle that is cut off by the first quadrant and whose hypotenuse is tangent to the parabola at some point?

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Deanna Hettinger
Deanna HettingerLv2
23 May 2020

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What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve at some point?

Consider the tangent line to the ellipse at a point in the first quadrant.

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