Question

-z is _________________ for complex number z.

(a) additive inverse

(b) additive identity element

(c) multiplicative identity element

(d) multiplicative inverse

This question was addressed to me by my college director while I was bunking the class.

The query is from Complex Numbers-1 in chapter Complex Numbers and Quadratic Equations of Mathematics – Class 11

Answer 1

Correct choice is (a) additive inverse

The best I can explain: On adding negative of complex number (-z) to complex number z, we get additive identity element zero i.e. z+(-z)=0.