Question

find the co-ordinates of the point p, which divides the line joining A (0,0) and B (5,10) in the ratio​ of 2:3​

Answer 1

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prefer the attachment

$\huge\fbox\red{hσpє}\huge\fbox\pink{ít}\fbox\green{hєlp}\huge\fbox\blue{yóû}$

$\huge\fbox{\red{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}$

$\large\bf{\underline\blue{❥thαnk \; чσu ♥♥}}$

Answer 2

Solution!!

The concept of co-ordinate geometry has to be used here. The coordinates of 2 points and the ratio between them is given in the question. We have to find the coordinates of another point which divides those two points. We will use the section formula to do so.

A (0 , 0) = (x₁ , y₁)

B (5 , 10) = (x₂ , y₂)

m₁ : m₂ = 2 : 3

Let the coordinates of P be (x , y)

Coordinates of P = [(m₁x₂ + m₂x₁)/(m₁ + m₂) , (m₁y₂ + m₂y₁)/(m₁ + m₂)]

P = [(2 × 5 + 3 × 0)/(2 + 3) , (2 × 10 + 3 × 0)/(2 + 3)]

P = [(10 + 0)/(5) , (20 + 0)/(5)]

P = [10/5 , 20/5]

P = (2 , 4)

Hence, the coordinates of point P are (2 , 4)