Saved Bookmarks
| 1. |
If two complex number z1 and z2 are such that |z1|=|z2| is then necessary that z1=z2 |
| Answer» No, its not necessary.For example:- let z1= 3+4i and z2= 4+3iThen |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| =5But z1\xa0done not equal to z2\xa0as real part\xa0and imaginary part\xa0of z1\xa0is not equal to real part\xa0and imaginary part\xa0of z2 | |