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Review Questions
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8.1 The Coordinate Plane
 
8.2 Lines and Distance
 
8.3 Graphing Linear Inequalities
 
8.4 Other Important Graphs and Equations
 
8.5 Vectors
 
8.6 Coordinate Space
 
 
8.7 Polar Coordinates
 
8.8 Parametric Equations
 
8.9 Key Formulas
 
8.10 Review Questions
 
8.11 Explanations
 
Review Questions
1. An equation of line y in the figure below is:
(A) x = 4y
(B) y = 4x
(C) y = 4
(D) x = 4
(E) This line is undefined.
2. Which of the following lines is perpendicular to 2y = 4x + 9?
(A) y = 3x – 6
(B) y = –3x + 6
(C) y = –x + 6
(D) y = –x – 2
(E) y = –x + 2
3. What is the shortest distance between the circle x2 + y2 = 2 and the point (3, 3)?
(A) 1.17
(B) 1.23
(C) 2.83
(D) 3.75
(E) 4
4. What is the least distance between the line y = 3x + 4 and the line that passes through the points (1, 14) and (3, 25)?
(A) 0
(B) 23.67
(C) 27.89
(D) 45
(E) 49
5. What is the perimeter of the triangle with vertices (1, 0), (2, ), and (4, 0)?
(A) 0
(B) 7.65
(C) 8
(D) 9.32
(E) 21.77
6. What is the distance between the points (–5, 3, –1) and (2, 7, 10)?
(A) 10.29
(B) 11.22
(C) 13.64
(D) 14.06
(E) 16.43
7. If a = (–5, 3) and = (4,2), and = 2 – a, what is the magnitude of c?
(A) 10.21
(B) 11.27
(C) 12.33
(D) 12.67
(E) 13.04
8. a and b are points on circle O. In polar coordinates, a is the point (3, ), and b is the point (3, ). What is the length of chord AB?
(A) 3.65
(B) 4.16
(C) 4.95
(D) 6
(E) 7.33
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