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Coordinates of B(2,0) and C(8,0) are given. If in triangle ABC, 4 tan(A/2) tan(B/2) = 1 ; find equation of locus of point A.
A few results will help solving this problemHere, a,b,c are sides of the triangle. s is the semi-radius and r is the in-radius.Using these equations and given condition, we get 3s=4c which gives (3a+3b=5c).
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