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

a) 7

b) 10

c) \(\sqrt{50}\)

d) \(\sqrt{74}\)

The point that divides the line joining (4, -3) and (-2, 5) in the ratio 3:1 internally is:

a) (1, 1)

b) (2, -1)

c) (-1, 2)

d) \((-\frac{1}{2}, 3)\)

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 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 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 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 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 (1, 2) and (1, 5) is:

a) 3

b) 5

c) 4

d) 7

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 distance between the points (-2, 5) and (3, 3) is:

a) 7

b) 6

c) 5

d) \(\sqrt{29}\)