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pritomrit bora Grade: 12
        

let A and B be two complex number such that  A/B+B/A =1 prove that the origin and the two points represented by A and  B form vertices of an equilateral triangle

6 years ago

Answers : (1)

mycroft holmes
266 Points
										


The triangle with origin, A and B as vertices will have side lengths |A|, |B| and |A-B|.


 


We will prove that |A| = |B| = |A-B|.


 



 


Similarly 


 


From the above two relations we immediately obtain that 


 


Hence, 

6 years ago
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