Question

Find modulus and conjugate of complex no. 9+3i^2-6i
​

Answer 1

Answer:

Radius = 7 cm

Circumference =

\begin{gathered}2\pi \: r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: cm\end{gathered}

2πr

=2×

7

22

×7

=44cm

Answer 2

Answer:

Let z =

$9 + {3i}^{2} - 6i \\ = 9 - 3 - 6i \\ = 6 - 6i$

Modulus,

$|z| = \sqrt{ {6}^{2} + {( - 6)}^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \\ = 6 \sqrt{2}$

Conjugate of z =

$6 + 6i$