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

a) 10

b) 8

c) 7

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

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

Which of the following points lie on the line with the equation 2x + 3y = 9?

a) (1, 2)

b) (3, 1)

c) (-2, 5)

d) (4, 0)

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

a) 7

b) 6

c) 5

d) \(\sqrt{29}\)

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

a) (2, -3)

b) (-2, 3)

c) \((\frac{2}{5}, -\frac{2}{5})\)

d) (-1, 1)

Which of the following statements is true about the diagonals of a square?

a) The diagonals are perpendicular to each other.

b) The diagonals are equal in length.

c) The diagonals bisect each other.

d) All of the above.

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

a) (0, 1/3)

b) (1/2, -1/2)

c) (1/2, 1/2)

d) (-1/2, -1/2)

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)

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

a) 3

b) 5

c) 4

d) 7