a good plane geometry problem on circles
AB is diameter of a circle,centered at O,with radius 'a'.A chord AD is
drawn and extended to meet the tangent through B at point C.Point E is
taken on AC such that AE=DC.Denoting the distances of E from the tangent
through A and from the diameter AB by 'x' and 'y' respectively.Prove that
2ay^2=x^3+xy^2
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