Difference between revisions of "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?
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==November 1==
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Two perpendicular chords intersect in a circle. The lengths of the segments of one chord are 3 and 4. The lengths of the segments of the other chord are 6 and 2. Find the diameter of the circle
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Answer: <math>\sqrt{65}</math>

Revision as of 16:14, 2 November 2011

November 1

Two perpendicular chords intersect in a circle. The lengths of the segments of one chord are 3 and 4. The lengths of the segments of the other chord are 6 and 2. Find the diameter of the circle

Answer: $\sqrt{65}$