The distance between the points (-5, 2) and (1, -4) is:

a) 10

b) 8

c) 7

d) \(6\sqrt{2}\)

The distance between the points (-2, 3) and (3, -4) is:

a) 7

b) 10

c) \(\sqrt{50}\)

d) \(\sqrt{74}\)

The distance between the points (1, 2) and (1, 5) is:

a) 3

b) 5

c) 4

d) 7

The points (2, 3) and (5, 1) are endpoints of a line segment. Find the midpoint of this line segment.

a) (3.5, 2.5)

b) (3, 2)

c) (2, 3)

d) (3.5, 2)

The section formula for the point that divides the line joining (2, -3) and (-4, 5) in the ratio 3:2 internally is:

a) (0, 1)

b) \((-\frac{5}{2}, 3)\)

c) (1, 0)

d) (0, -1)

The points (4, 6) and (8, 12) are endpoints of a line segment. Find the midpoint of this line segment.

a) (6, 9)

b) (5, 8)

c) (4, 6)

d) (8, 12)

The point (3, a) lies on the line with the equation \(2x – 3y = 8\). What is the value of a for this point?

a) -2

b) 2

c) 3

d) \(-\frac{2}{3}\)

The equation of the line parallel to the x-axis and passing through the point (4, -2) is:

a) y = 4

b) x = 4

c) y = -2

d) x = -2

The equation of the line parallel to the y-axis and passing through the point (2, -5) is:

a) y = 2

b) x = 2

c) y = -5

d) x = -5

The point that divides the line joining (-3, 4) and (5, -2) in the ratio 3:4 internally is:

a) (4, -1)

b) (-1, 4)

c) (3/7, 10/7)

d) (-4, 1)