Diagnostic Test in MATH 153

The distance from the origin to the point (sin θ, cos θ) is equivalent to:

• 1
• 2
• 3
• 4

The triangle defined by the points A (6, 1) , B(2, 4) and C(-2, 1) is what?

• Right
• Acute
• Scalene
• Isosceles

How far is the intersection of the lines 4x − 5y = 26 and 3x + 7y + 2 = 0 from the origin?

• 3.45
• 4.47
• 1.46
• 7.43

Find the coordinates of the point P that is 2/3 its distance from A(1, 8) and B(7, -1) measured from _____.

• (5, 8)
• (2, 5)
• (5, 2)
• (7, -2)

What is the length of the line segment with slope 4/3 that extends from the point (6, 4) to the y – axis?

• 8
• 4
• 8
• 10

Find the inclination of the line passing through (4, 1) and (-3, -3).

• 79.2°
• 27.9°
• 92.7°
• 29.7°

Find the distance between lines, 3x + y − 12 = 0 and 3x + y − 4 = 0.

• 13.6
• 2.53
• 54.2
• 7.54

Determine B such that the line 3x + 2y − 7 = 0 is perpendicular to the line 2x − By + 2 = 0.

• 1
• 2
• 3
• 4

Find the smallest angle between lines 2x + y − 8 = 0 and x + 3y + 4 = 0.

• 69.2°
• 28.9°
• 40°
• 45°

Find the equation of a line through (0, 4) w/c is perpendicular to the line x − 3y = 0.

• 3x − y − 4 = 0
• 3x + y − 4 = 0
• 3x + y + 4 = 0
• x + 3y − 4 = 0