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Find the coordinates of the point on the directed segment from (1,2) to (6,12) that divides it into a ratio of 2:3

1 Answer

12 votes

Answer:

Point of contact ( 3,6)

Explanation:

Step(i):-

Given that the points are (1,2) and (6,12)

The ratio 2:3 divides the line segment

The line segment divides m:n externally


((mx_(2)-nx_(1) )/(m-n) ,(mx_(2)-nx_(1) )/(m-n) )

Step(ii):-

(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3


((2(6)+3(1) )/(2+3) ,(2(12)+3(2) )/(2+3) )

(
((12+3)/(5) ,(24+6)/(5) )

(
(15)/(5) ,(30)/(5))

(3 , 6)

Final answer:-

Point of contact ( 3,6)

User Koma
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