The non zero complex number $z$ satisfying $z = i z^{2}$ is

i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- i

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 + i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 - i

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $- i$
$z = i z^{2}$
$z (1 - i z) = 0$
$\Rightarrow z = 0$ or $z = \frac{1}{i} = - i$

Suggest Corrections

Similar questions

z

¯ ¯ ¯ z = i z^{2}

z

z

¯ ¯ ¯ z = i z^{2}

Z

¯ ¯¯ ¯ Z = i Z^{2}

¯ ¯ ¯ z = i z^{2}

z

| z - i | = | z + 1 | = 1

Join BYJU'S Learning Program