in-what-ratio-in-which-y-x-2-0-divides-the-line-joining-3-1-and-8-9-

Question Number 25441 by rather ishfaq last updated on 10/Dec/17

i n w h a t r a t i o i n w h i c h y - x + 2 = 0 d i v i d e s t h e l i n e j o i n i n g (3, - 1) a n d (8, 9) .

Answered by mrW1 last updated on 10/Dec/17

L i n e f r o m A (3, - 1) t o B (8, 9) :

(x, y) = (3, - 1) + λ (5, 10)

F o r i n t e r s e c t i o n p o i n t C w e h a v e

(- 1 + 10 λ) - (3 + 5 λ) + 2 = 0

- 4 + 5 λ + 2 = 0

\Rightarrow λ = \frac{2}{5}

\Rightarrow A C = \frac{2}{5} A B

t h a t m e a n s t h e l i n e A B i s d i v i d e d

i n a r a t i o o f 2 : 3 b y t h e p o i n t C .

Facebook Tweet Pin