441,268 views
18 votes
18 votes
Which complex number does not lie on the line segment plotted on the graph?

Which complex number does not lie on the line segment plotted on the graph?-example-1
User Questiondude
by
2.8k points

1 Answer

24 votes
24 votes

Answer:

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.

Explanation:

User Manas Saxena
by
3.1k points