If , be two complex numbers then | |^2+| |^2 is equal to

JEE Advanced Mathematics question

If be two complex numbers then is equal to

Answer: (B)

Using :

|α+β|^2=(α+β)(α+β)=|α|^2+|β|^2+αβ+αβ,

|α-β|^2=(α-β)(α-β)=|α|^2+|β|^2-αβ-

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Question ID VK-108082