Mathematics

Mathematics

Problem

Q1. Let A(4,−2)A(4, -2), B(1,1)B(1, 1) and C(9,−3)C(9, -3) be the vertices of a triangle ABCABC. Then the maximum area of the parallelogram AFDEAFDE, formed with vertices DD, EE and FF on the sides BCBC, CACA and ABAB of the triangle ABCABC respectively, is ______.

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