Question

Find the ratio in which the line segment joining
A and B (1, 5) ( 4,5)
is divided by the x-axis. Also find the point of intersection
the ratio in which the line segment joining
A and B (1, 5) ( 4,5)
is divided by the x-axis. Also find the point of intersection















Find the ratio in which the line segment joining
A and B (1, 5) ( 4,5)
is divided by the x-axis. Also find the point of intersection

Answer 1

We have to find the ratio in which the segment joining A (1, 5) and B(4, 5) is divided by x - axis. Also have to find the point of intersection.

Solution : let A (1,5) and B(4,5) is divided by a point P(x , 0) lying on the X - axis in the ratio of λ : 1

Using formula,

(x, y) = [(λx₂ + x₁)/(λ + 1), (λy₂ + y₁)/(λ + 1)]

here y = 0, (x₁, y₁) = (1, 5) and (x₂ , y₂) = (4, 5)

Then, 0 = (λ × 5 + 5)/(λ + 1)

⇒λ = -1

Now let's apply it for x,

x = (-1 × 4 + 1 × 1)/(-1 + 1) = ∞ , why got it because x - axis can't divide A(1,5) and B(4, 5).

Therefore the line joining the points A(1,5) and B(4, 5) can't be divided by x - axis.