Regents Exam Questions by Topic
RADICALS: Graphing Complex Numbers
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Page 1
Name: __________________________________
Fractal geometry uses the complex number plane to draw diagrams, such as the
one shown in the accompanying graph.
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Which number is not included in the shaded area?
(1) –0.5i
(3) –0.9
(2) –0.5 – 0.5i
(4) –0.9 – 0.9i
2
Two complex numbers are graphed below.
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What is the sum of w and u, expressed in standard complex number form?
(1) 7 + 3i
(3) 5 + 7i
(2) 3 + 7i
(4) -5 + 3i
3
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When the sum of -4 + 8i and 2 - 9i is graphed, in which quadrant does it lie?
(1) I
(3) III
(2) II
(4) IV
Regents Exam Questions by Topic
RADICALS: Graphing Complex Numbers
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Page 2
Name: __________________________________
If z1  3  2i and z2  4  3i , in which quadrant does the graph of ( z2  z1 )
lie?
(1) I
(3) III
(2) II
(4) IV
On a graph, if point A represents 2  3i and point B represents 2  5i, which
quadrant contains 3 A  2 B ?
(1) I
(3) III
(2) II
(4) IV
On a stamp honoring the German mathematician Carl Gauss, several complex
numbers appear. The accompanying graph shows two of these numbers.
Express the sum of these numbers in a  bi form.
Regents Exam Questions by Topic
RADICALS: Graphing Complex Numbers
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Page 3
Name: __________________________________
Find the sum of -2 + 3i and -1 - 2i.
Graph the resultant on the accompanying set of axes.
Regents Exam Questions by Topic
RADICALS: Graphing Complex Numbers
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Page 4
Name: __________________________________
On the accompanying set of axes, graphically represent the sum of 3  4 i and
 1  2 i.