Analytic Geometry 01

The distance from the origin to the point (sinθ, cosθ) 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

• Scalene

• Acute

• Isosceles

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

• Right

• Acute

• Obtuse

• Equilateral

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

• 3.45

• 1.46

• 4.47

• 7.43

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

• 8

• 18

• 4

• 10

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

• 79.2 deg

• 92.7 deg

• 27.9 deg

• 29.7 deg

What is the slope-intercept equation of a line with the slope of 2/3 and y-intercept of 2?

• y = 2x + 3/2

• y = 3x/2 + 2

• y = 2x/3 + 2

• y = 3x/2 + 3/2

What is the general form of the equation for a line whose x-intercept is 4 and y-intercept is -6?

• 2x − 3y − 18 = 0

• 3x − 2y − 12 = 0

• 2x + 3y + 18 = 0

• 3x − 2y + 12 = 0

The straight lines ax + by + c = 0 and bx + cy + a = 0 are parallel. Which of the following is true?

• 𝑎=𝑏=𝑐

• 𝑏^2−𝑎𝑐=0

• 𝑏^2+𝑎𝑐=0

• 𝑏^2−4𝑎𝑐=0

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

• 13.6

• 54.2

• 2.53

• 7.54