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Three concurrent circles meets a line

There are three concentric circles with their common centre being \(O\). A line \(l\) intersects the three circles. Let the intersection points on one side of the circles be named as \(A,B,C\) respectively. If the distance of the line from the smaller circle be \(p\), then prove that the area of triangle formed by the tangents at \(A,B,C\) is \(\frac{AB\times BC\times CA}{2p}\)

Note by Ratul Pan
3 months, 4 weeks ago

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