NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

Question : 13

Total: 52

- i

Solution:

Let z = –i = 0 – i Then

−

= 0 + i …(i)
and |z|2 = (0)2+(1)2 = 1
∴ The multiplicative inverse of – i is given by z−1 =

−

|z|2

0+i

= i
(By using (i) and (ii))

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