Mastering Olympiad Mathematics
A collection of intriguing competition level problems for secondary school students.
Showing posts with label
cyclic symmetry
.
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Showing posts with label
cyclic symmetry
.
Show all posts
Thursday, April 23, 2015
Find The Area Of The Equilateral Triangle
Show that the curve $x^3+3xy+y^3=1$ has only one set of three distinct points, $P$, $Q$, and $R$ which are the vertices of an equilateral triangle, and find its area.
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