AoPS Wiki talk:Problem of the Day/November 2, 2011

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Only using the first quadrant of a Cartesian grid. Draw a line f(x) defined as f(x) = 1/x. Draw a tangent which intersects the line at point (a, b) on the curve. What is the area of the triangle bounded by the points of: the origin; the intersection point of the tangent and the x-axis; and the intersection point of the tangent and the y-axis?