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If two complex number z1 and …

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If two complex number z1 and z2 are such that |z1|=|z2| is then necessary that z1=z2
  • 1 answers

Dharmendra Kumar 8 years, 4 months ago

No, its not necessary.

For example:- let z1= 3+4i      and  z2= 4+3i

Then |z1| ={tex}{\sqrt {3^2 +4^2}}={\sqrt {9+16}}={\sqrt {25}}=5{/tex}

Also |z2| ={tex}{\sqrt {4^2+3^2}}={\sqrt {16+9}}={\sqrt {25}}=5{/tex}

So clearly |z1| = |z2| =5

But     z1 done not equal to z2 as real part and imaginary part of z1 is not equal to real part and imaginary part of z2  

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