Solve it either Geometrically or Algebraically
Geometry
Level
4
Let \({ a }_{ k }, { b }_{ k }, l \in { \Re }^{ + }\) and \({ a }_{ k }^{ 2 }+{ b }_{ k }^{ 2 } = { l }^{ 2 }\)
\(E = \cfrac { { a }_{ k }{ b }_{ k } }{ { a }_{ k }^{ 2 }+{ b }_{ k }^{ 2 }+({ a }_{ k }+{ b }_{ k })\sqrt { { a }_{ k }^{ 2 }+{ b }_{ k }^{ 2 } } }\)
Find maximum value of \(E\)
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by
Deepanshu Gupta