
Locus and Complex Expressions
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for the expression (z-1)/(z-i) to be real?
The real part must be zero.
The imaginary part must be zero.
Both real and imaginary parts must be zero.
The expression must be undefined.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the point z = i excluded from the locus?
It is not on the line.
It results in a complex number.
It is a point of intersection.
It makes the expression undefined.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the gradient of the line derived from the expression (z-1)/(z-i) being real?
1
0
2
-1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-intercept of the line derived from the expression (z-1)/(z-i) being real?
0
1
-1
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What additional point must be excluded when considering the expression (z-1)/(z-i) to be imaginary?
z = 1
z = 2
z = -1
z = 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if both the real and imaginary parts of the expression are zero?
The expression is zero.
The expression is an imaginary number.
The expression is a real number.
The expression is undefined.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is formed by the locus when the expression (z-1)/(z-i) is imaginary?
An ellipse
A circle
A parabola
A straight line
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