Question:

For i = $\sqrt{-1}$ , the sum of $($ $-3$ $+$ 4 $i$ $)$ $+$ $($ $-4-3i)$ is equal to

Updated On: Oct 14, 2024

$-1-i$
$-1+i$
$-7+i$
$-7-i$

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The Correct Option is C

Solution and Explanation

To find the sum of the complex numbers

(

-3

+

4

i

)

and

(

-4-3i)

we can add the real parts and the imaginary parts separately
Real parts:
⇒

-3+(-4)=-7

Imaginary parts:
⇒

4i+(-3i)=1i

or simply

i

The sum is:

-7+i

So the correct option is (C):

-7+i

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