What are the two conditions given in the problem involving complex numbers?

Complex Numbers and Their Properties

Interactive Video
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Mathematics
•
11th - 12th Grade
•
Hard

Amelia Wright
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two real numbers and their sum
A real number and a complex number
A real number and a purely imaginary number
Two imaginary numbers and their product
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the geometric interpretation, what do z1 - z2 and z1 + z2 represent?
Sides of a triangle
Diagonals of a parallelogram
Vertices of a square
Edges of a cube
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of number results from adding or subtracting two complex numbers?
A real number
An imaginary number
Another complex number
A rational number
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the arguments of two complex numbers when they are multiplied?
They are divided
They are added
They remain unchanged
They are subtracted
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the argument of a purely imaginary number like ki?
0 or π
π/2 or -π/2
π/4 or -π/4
π/3 or -π/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two angles differ by π/2 radians, what is their geometric relationship?
They are supplementary
They are perpendicular
They are equal
They are parallel
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of parallelogram has diagonals that are perpendicular?
Trapezoid
Rhombus
Rectangle
Pentagon
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