### Can two different numbers have the same absolute value?

###### Hence if domain is real number for each absolute value there are two different numbers one can have with same absolute value. However, if domain is Complex numbers, absolute value of a number a + bi is √a2 + b2 and for each absolute value there could be infinite different numbers with same absolute value. For example, 3 + 4i, −4 + 3i, 1 ...