Question

In what ratio does the x-axis divide the join of A(2, –3) and B(5, 6)?

Options

• 2 : 3

• 3 : 5

• 1 : 2

• 2 : 1

Answer 1

1 : 2

Explanation:

Let the x-axis cut AB in the ratio λ : 1.

By the section formula the y-coordinate of the division point is `(6λ - 3)/(λ + 1)`. 

Setting this = 0 gives 6λ − 3 = 0

⇒ `λ = 1/2`

i.e. `1/2 : 1 = 1 : 2`.