Question

1/z is _________________ for complex number z.

(a) additive inverse

(b) additive identity element

(c) multiplicative identity element

(d) multiplicative inverse

This question was posed to me in exam.

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

Answer 1

Correct option is (d) multiplicative inverse

For explanation I would say: On multiplying reciprocal of complex number (1/z) to complex number z, we get multiplying inverse one i.e. z*1=z.