10
QuizMultiple Choice
Powers and Roots of Complex Numbers
Question 10 • MO-Algebra II A
An experiment determines that the polar equation r = 5 + 6cos(θ), where r is in meters, represents the greatest distance between two individuals that still allows them to hear each other speak. Which curve represents this scenario?
Answer
A
On a polar coordinate plane, a circle goes through (3.75, StartFraction pi Over 2 EndFraction) and (3.75, StartFraction 3 pi Over 2 EndFraction).
B
On a polar coordinate plane, a circle goes through (4, StartFraction pi Over 2 EndFraction) and (4, StartFraction 3 pi Over 2 EndFraction).
C
On a polar coordinate plane, a circle goes through (0, 0) and (11, 0). It has an inner loop at (0, 0).
D
On a polar coordinate plane, a circle goes through (0, 0) and (12, 0). It has a convex at (0, 0).