1. A _________________ is an equation in r and Ө.
a. rectangular equation c. polar equation
b. quadratic equation d. parametric equation
2. It is a ray emanating from the pole of the rθ-plane.
a. Origin b. Polar Axis c. Polar Angle d. Angular Coordinate
3. It is a two-dimensional coordinate system in which each point P on a plane is determined by a distance r from a fixed point O and an angle Ө from a fixed direction.
a. Rectangular Coordinate System c. Cartesian Coordinate System
b. Polar Coordinate System d. Solar System
4. The point P is represented by the ordered pair (r, Ө) and r, Ө are called ___________________.
a. Cartesian Coordinate c. Polar Coordinate
b. Rectangular Coordinate d. Solar Coordinate
5. In the point (r, Ө), r is called __________________ and Ө is called ___________________.
a. Radial Coordinate; Angular Coordinate c. Radial Coordinate; x coordinate
b. Angular Coordinate; Radial Coordinate d. Angular Coordinate; x coordinate
6. Which of the following polar equations has a graph of a circle?
a. r=2a cosθ b. r=a+b cosθ c. r=a sin nθ d. r=aθ
7. Which of the following polar equations has a graph of a limacon?
a. r=2a cosθ b. r=a+b cosθ c. r=a sin nθ d. r=aθ
8. Which of the following polar equations shows a spiral graph?
a. r=2a cosθ b. r=a+b cosθ c. r=a sin nθ d. r=aθ
9. Which of the following polar equations has a graph of a rose curve?
a. r=2a cosθ b. r=a+b cosθ c. r=a sin nθ d. r=aθ
10. A limacon is said to be a cardioid if the ratio of a and b of the polar equations r=a±b cosθ and r=a±sinθ is _________________.
a. a/b<1 b. a/b=1 c. 1<a/b<2 d. a/b≥2
11. The x-coordinate of the rectangular coordinate (x,y) may be recovered from polar coordinates (r,θ) by means of the equation _______________.
a. x=r sinθ b. y=r sinθ c. x=r cosθ d. y=r sinθ
12. The y- coordinate of the rectangular coordinate (x,y) may be recovered from polar coordinates (r,θ) by means of the equation _______________.
a. x=r sinθ b. y=r sinθ c. x=r cosθ d. y=r sinθ
13. The r-coordinate of the polar coordinate (r,θ) may be recovered from the rectangular coordinates (x,y) by means of the equation ________________.
a. r^2=(x+y)^2 b. r^2=x^2-y^2 c. r^2=y^2 〖-x〗^2 d. r^2=x^2+y^2
14. The θ-coordinate of the polar coordinate (r,θ) may be recovered from the rectangular coordinates (x,y) by means of the equation ________________.
a. θ=arctan〖x/y〗 b. θ=arctan xy c. θ=arctan〖y/x〗 d. θ=y arctan x
15. In the polar equation r=a sin nθ, the number of petals of the graph is determined by the variable ________________.
a. r b. n c. a d. θ
16. The _________________ of a polar equation is an ordered pair (a,b) that leads to equality if a is substituted for r and b for θ.
a. Graph b. Solution c. Pole d. Origin
17. The ______________ of a polar equation is the set of all points in rθ-plane that correspond to the solutions.
a. Graph b. Solution c. Pole d. Origin
18. The center of the graph of the polar equation r=2a sinθ is located at ________________.
a. (a,0) b. (0,0) c. (0,a) d. (a,a)
19. The center of the graph of the polar equation r=2a cosθ is located at ________________.
a. (a,0) b. (0,0) c. (0,a) d. (a,a)
20. For the given polar equation of limacon r=a-b sinθ, if a=0, then the resulting polar equation becomes a __________________.
a. Cardioid b. Circle c. Rose Curve d. Spiral Curve
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