- i - NCERT Class XI Mathematics - Complex Numbers and Quadratic ...

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

Question : 13 of 52

Marks: +1, -0

- i

Solution:

Let z = –i = 0 – i Then

\overset{-}{z}

= 0 + i …(i)

and

|z|^2

(0)^2+(1)^2

= 1

∴ The multiplicative inverse of – i is given by

z^{-1}

\frac{\overset{-}{z}}{|z|^2}

\frac{0+i}{1}

= i

(By using (i) and (ii))

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