Coordinate Geometry & Solid Figures

Calculate the distance between the points (3, 4) and (7, 1).

• 3

• 5

• 8

• 10

Given the points A(2, 3) and B(6, 5), find the point that divides the line segment AB in the ratio 2:3.

• (5, 4.2)

• (2.5, 3.8)

• (4, 4.5)

• (3, 3.2)

What is the distance between the points (-1, 2) and (3, -4)?

• sqrt(29)

• 2*sqrt(13)

• 6

• 2*sqrt(5)

If the line segment joining points P(1, 2) and Q(5, 6) is divided in the ratio 3:2, find the coordinates of the point of division.

• (3.8, 4.3)

• (4.2, 5.1)

• (3.4, 4)

• (2.5, 3.5)

Determine the distance between the points (0, 0) and (-3, 4).

• 5

• 3

• 10

• 7

Find the point that divides the line segment joining (-2, 1) and (4, 3) in the ratio 1:2.

• (2, 2)

• (1, 3)

• (3, 2)

• (0, 2)

Calculate the distance between the points (5, -1) and (-2, 3).

• 7.92

• 10.23

• 6.45

• 8.06

Given the points M(2, 4) and N(6, 8), determine the point that divides the line segment MN in the ratio 1:3.

• P(3, 5)

• Q(5, 7)

• R(7, 9)

• P(4, 6)

What is the distance between the points (1, -3) and (4, 5)?

• sqrt(73)

• sqrt(37)

• sqrt(89)

• sqrt(61)

If the line segment joining points R(3, 2) and S(7, 6) is divided in the ratio 1:2, find the coordinates of the point of division.

• (6, 5)

• (5, 4)

• (4, 3)

• (8, 7)