Review Questions
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 = 2a, 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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