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WorksheetsDiagnostic Test in MATH 153
Total questions: 17
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
The distance from the origin to the point (sin θ, cos θ) is equivalent to:
a)
1
b)
2
c)
3
d)
4
2.
The triangle defined by the points A (6, 1) , B(2, 4) and C(-2, 1) is what?
a)
Right
b)
Acute
c)
Scalene
d)
Isosceles
3.
How far is the intersection of the lines 4x − 5y = 26 and 3x + 7y + 2 = 0 from the origin?
a)
3.45
b)
4.47
c)
1.46
d)
7.43
4.
Find the coordinates of the point P that is 2/3 its distance from A(1, 8) and B(7, -1) measured from _____.
a)
(5, 8)
b)
(2, 5)
c)
(5, 2)
d)
(7, -2)
5.
What is the length of the line segment with slope 4/3 that extends from the point (6, 4) to the y – axis?
a)
8
b)
4
c)
8
d)
10
6.
Find the inclination of the line passing through (4, 1) and (-3, -3).
a)
79.2°
b)
27.9°
c)
92.7°
d)
29.7°
7.
Find the distance between lines, 3x + y − 12 = 0 and 3x + y − 4 = 0.
a)
13.6
b)
2.53
c)
54.2
d)
7.54
8.
Determine B such that the line 3x + 2y − 7 = 0 is perpendicular to the line 2x − By + 2 = 0.
a)
1
b)
2
c)
3
d)
4
9.
Find the smallest angle between lines 2x + y − 8 = 0 and x + 3y + 4 = 0.
a)
69.2°
b)
28.9°
c)
40°
d)
45°
10.
Find the equation of a line through (0, 4) w/c is perpendicular to the line x − 3y = 0.
a)
3x − y − 4 = 0
b)
3x + y − 4 = 0
c)
3x + y + 4 = 0
d)
x + 3y − 4 = 0
11.
What is the general form of the equation for a line whose x − intercept is 4 and y − intercept is −6?
a)
2x − 3y − 18 = 0
b)
3x − 2y − 12 = 0
c)
2x + 3y + 18 = 0
d)
3x − 2y + 12 = 0
12.
Find the slope of the line having parametric equation y = 4t + 6 and x = t + 1.
a)
1
b)
2
c)
3
d)
4
13.
Determine the area of the triangle bounded by the straight lines x + 2y = 7, 3x − 4y = 1 and 2x − y + 6 = 0.
a)
15
b)
20
c)
25
d)
30
14.
Find x if the distance between the points P<sub>1</sub> (x, 4, 1) and P<sub>2</sub> (-3, 5, - 4) is 3√3.
a)
2
b)
– 2
c)
– 3
d)
3
15.
Find the angle between 3x − y + z − 5 = 0 and x + 2y + 2z + 2 = 0.
a)
69.22°
b)
72.45°
c)
40.34°
d)
45.08°
16.
The segment ( -1, 4) to ( 2 , -2 ) is extended three times it s own length. Find the terminal point.
a)
(14, 13)
b)
(16, 14)
c)
(11, - 20)
d)
(15, -10)
17.
The straight lines ax + by + c = 0 and bx + cy + a = 0 are parallel. Which of the following is true.
a)
b2 + ac = 0
b)
b2 – ac = 0
c)
a2 + bc = 0
d)
a = b
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