You visited us 4 times! Enjoying our articles? Unlock Full Access!

Algebra of Complex Numbers

If z + 22+i...

Question

If $z + 2 (2 + i) = 8 + 9 i,$ then the value of $z$ is

4 + 7 i

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

4 + 2 i

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

7 - 3 i

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

5 - 2 i

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

Open in App

Solution

The correct option is B $4 + 7 i$
Let $z = a + i b$
$z + 2 (2 + i) = 8 + 9 i z + 4 + 2 i = 8 + 9 i z = 4 + 7 i$

Suggest Corrections

Similar questions

z = ∣ ∣ ∣ ∣ \begin{matrix} 3 + 3 i & 5 - i & 7 - 3 i i & 2 i & - 3 i 3 - 2 i & 5 + i & 7 + 3 i \end{matrix} ∣ ∣ ∣ ∣

z = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 + 2 i & - 5 i 1 - 2 i & - 3 & 5 + 3 i 5 i & 5 - 3 i & 7 \end{matrix} ∣ ∣ ∣ ∣

i = (\sqrt{- 1})

x

∣ ∣ ∣ \frac{z - i}{z + 2 i} ∣ ∣ ∣

| z | = \frac{5}{2}

| z + 3 i |

x

∣ ∣ ∣ \frac{z - i}{z + 2 i} ∣ ∣ ∣

| z | = \frac{5}{2}

| z + 3 i |

∣ ∣ ∣ ∣ \begin{matrix} 3 i 5 i \end{matrix} \begin{matrix} 2 i 4 2 i \end{matrix} \begin{matrix} 2 i - 3 i 7 \end{matrix} ∣ ∣ ∣ ∣

Join BYJU'S Learning Program