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Alpha and beta are eccnetric angles of two points A and B on the ellipse x^2/a^2 + y^2/b^2 = 1, If P(acos@, bsin@) be any point on the same ellipse such that the area of triangle PAB is the maximum, then prove that @ = (alpha+beta)/2.

Diksha Bagade , 7 Years ago
Grade 12
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