Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

In the graph, the line segment
joins the complex numbers 2 + 2i and -1 + 3i.

Answer 1

So the line segment joining them will be AB

Hence final answer is the line segment AB

Answer 2

We have been given a graph that involves Real axis and Imaginary axis.

From that graph we have to choose correct line segment which joins complex numbers 2+2i and -1+3i.

We know that if complex number is (a+bi) then real part "a" is always plotted along x-axis and the imaginary part "b" is always plotted along y-axis just like point (a,b) on x-y graph.

So 2+2i means point (2,2) on x-y graph which is at point B.

similarly -1+3i means point (-1,3) which will be at point A.

So the line segment joining them will be AB

Hence final answer is the line segment AB.