Question

x-axis divides the line segment joining A(2, –3) and B(5, 6) in the ratio:

Options

• 2 : 3

• 3 : 5

• 1 : 2

• 2 : 1

Answer 1

1 : 2

Explanation:

Given, x-axis divide the segment joining points A(2, –3) and B(5, 6)

Let the ratio be k : 1, then

`x = (m_1x_2 + m_2x_1)/(m_1 + m_2)`

And `y = (m_1y_2 + m_2y_1)/(m_1 + m_2) = 0`

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

⇒ 6k = 3

⇒ `k = 1/2`

Thus, ratio is 1 : 2.