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If z1,z2, are two complex number such that |z1|=|z2|=2 and |z1+z2| =square root 3 , then |z1-z2|equals

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Solution: left | z_1+z_2 
ight |^2+left | z_1-z_2 
ight |^2=2left | z_1 
ight |^2+2left | z_2 
ight |^2

              Rightarrow     3+left | z_1-z_2 
ight |^2=2(2)+2(2)

                Rightarrow   left | z_1-z_2 
ight |^2=5Rightarrow left | z_1 -z_2
ight |=sqrt5

Posted by

Deependra Verma

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