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z=20 i+26
What are the real and imaginary parts of 
z ?
Choose 1 answer:
(A) 
Re(z)=20 and 
Im(z)=26
(B) 
Re(z)=26 and 
Im(z)=20 i
(c) 
Re(z)=20 i and 
Im(z)=26
(D) 
Re(z)=26 and 
Im(z)=20

z=20i+26 z=20 i+26 \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A) Re(z)=20 \operatorname{Re}(z)=20 and Im(z)=26 \operatorname{Im}(z)=26 \newline(B) Re(z)=26 \operatorname{Re}(z)=26 and Im(z)=20i \operatorname{Im}(z)=20 i \newline(C) Re(z)=20i \operatorname{Re}(z)=20 i and Im(z)=26 \operatorname{Im}(z)=26 \newline(D) Re(z)=26 \operatorname{Re}(z)=26 and Im(z)=20 \operatorname{Im}(z)=20

Full solution

Q. z=20i+26 z=20 i+26 \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A) Re(z)=20 \operatorname{Re}(z)=20 and Im(z)=26 \operatorname{Im}(z)=26 \newline(B) Re(z)=26 \operatorname{Re}(z)=26 and Im(z)=20i \operatorname{Im}(z)=20 i \newline(C) Re(z)=20i \operatorname{Re}(z)=20 i and Im(z)=26 \operatorname{Im}(z)=26 \newline(D) Re(z)=26 \operatorname{Re}(z)=26 and Im(z)=20 \operatorname{Im}(z)=20
  1. Identifying the Complex Number: The complex number is given as z=20i+26 z = 20i + 26 . To find the real and imaginary parts, we need to identify the terms without the imaginary unit i i as the real part, and the terms with the imaginary unit i i as the imaginary part.
  2. Finding the Real Part: The real part of the complex number zz is the term without the imaginary unit ii, which is 2626. Therefore, Re(z)=26\text{Re}(z) = 26.
  3. Finding the Imaginary Part: The imaginary part of the complex number zz is the term with the imaginary unit ii, which is 20i20i. To express the imaginary part, we only take the coefficient of ii, which is 2020. Therefore, Im(z)=20\text{Im}(z) = 20.

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