Q29 of 66 Page 91

If |z1| = |z2|, is it necessary that z1 = z2?

Explanation:


Given |z1| = |z2|


If |z1| = |z2| then z1 and z2 are at the same distance from origin.


But if arg (z1) ≠ arg (z2) then z1 and z2 are different.


So, if |z1| = |z2|, then it is not necessary that z1 = z2.


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


Here |z1| = |z2| = 5 but z1 ≠ z2.


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