Question:
For i = \(\sqrt{-1}\), the sum of \((\)\(-3\) \(+\) 4\(i\)\()\) \(+\)\((\)\(-4-3i)\) is equal to
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):\(-7+i\)
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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