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University

Mathematics

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4 years

Mathematics

University

Polar Coordinates and Polar Equations

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407
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10 questions

10 questions

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1. Multiple Choice
2 minutes
1 pt
Convert the polar coordinates to rectangular form $\left(\sqrt{2},\ -\frac{\pi}{4}\right)$
(1, 1)
(1, -1)
(-1, 0)
(-1, -1)
2. Multiple Choice
2 minutes
1 pt
Convert the polar coordinates to rectangular form $\left(6,\ \frac{2\pi}{3}\right)$
( -3, 3)
(3, 3√3)
(-3, 3√3)
(3, -3√3)
3. Multiple Choice
2 minutes
1 pt
Covert the rectangular equation to polar form $x^2+y^2=9$
r² = 81
r = 3
r = 4.5
r sin θ = 9
4. Multiple Choice
2 minutes
1 pt
Covert the rectangular equation to polar form $y=x^2$
r = cot θ csc θ
r = tan θ csc θ
r = tan θ sec θ
r = 0
5. Multiple Choice
2 minutes
1 pt
Which point represents (3, 3π/4)
F
E
B
A
6. Multiple Choice
2 minutes
1 pt
Which point represents the polar coordinate
(-4, -2π/3)
B
F
D
A
7. Multiple Choice
2 minutes
1 pt
True or False: Polar Coordinates are unique?
True
False
8. Multiple Choice
2 minutes
1 pt
Which point represents (5, π)
F
E
B
A
9. Multiple Choice
2 minutes
1 pt
What is the equation?
Θ = π/4
Θ = -5π/4
Θ = -3π/4
Θ = 5π/4
10. Multiple Choice
2 minutes
1 pt
What is the equation?
r = 4
r = 8
r = 4sin(Θ)
r = 8sin(Θ)
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