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Question

Quantitative Aptitude Question on complex numbers

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

A

−1−i-1-i

B

−1+i-1+i

C

−7+i-7+i

D

−7−i-7-i

Answer

−7+i-7+i

Explanation

Solution

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)=−7-3+(-4)=-7
Imaginary parts:
⇒4i+(−3i)=1i4i+(-3i)=1i or simply ii
The sum is:−7+i-7+i
So the correct option is (C):−7+i-7+i