Question

What is the ratio in which the line segment joining (2, -3) and (5, 6) is divided by x-axis?

Options

• 1:2

• 2:1

• 2:5

• 5:2

Answer 1

1:2

Explanation:

Let the line joining points A (2, -3) and B (5, 6) be divided by point P (x, 0) in the ratio k:1.

y = `(ky_2 + y_1)/(k + 1)`

0 = `(k xx 6 + 1 xx (-3))/(k + 1)`

0 = 6k – 3

k = `1/2`

Thus, the required ratio is 1:2.