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libi052207
02.07.2019 •
Mathematics
Select the correct answer. what is the imaginary part of the complex number plotted on this graph? a. 3 b. -2i c. -2 d. 3i
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Ответ:
So, let's see... It is easy to notice that for 3 out of the 4 numbers, there is a relationship between the x and the y coordinate of the number; for 3+i, -2i, -2-4i we have that the real part is larger by 2 from the imaginary part. Thus, the points are on the same line in the imaginary plane; they satisfy x=y+2 or Re{z}=Im{z}+2. However, 2-4i does not satisfy this equation since 2 is not equal to -4+2. Hence, this point does not belong to the line that the other 3 points define.
Ответ: