Question

Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. Which of the following options is correct?

A) (4,5)
B) (2, 2)
C) (-6, 6)
D) (4,1)

Answer 1

To find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3, we use the formulas x = (5x2 + 3x1) / 8 and y = (5y2 + 3y1) / 8.

The correct answer is option D) (4, 1).

To find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3, we can use the concept of similar triangles.

Let's assume the coordinates of point P are (x1, y1) and the coordinates of point Q are (x2, y2). The coordinates of the point that divides the line segment PQ in the ratio 5:3 can be found using the following formulas:

x = (5x2 + 3x1) / 8

y = (5y2 + 3y1) / 8

In this case, the coordinates of the point that divides the line segment PQ in the ratio 5:3 are (4, 1). Option D) (4, 1) is the correct answer.