Question

Find the ratio in which (11,15) divides the line segment joining the points (15,5) and (9,20)

Answer 1

Greetings,
The answer to your answer is typed below↓
___________________________________________

Section formula: (X,Y) = [ (mx1 + nx2)/(m+n) ,(my1 + ny2)/(m+n) ]

Given: 

X = 11 , Y = 15 , x1 = 15 , x2 = 9 , y1 = 5 , y2 = 20

We can use any one part of the formula to obtain the answer (X or Y)

So...

X  = (mx1 + nx2)/(m+n)
11 = (m × 15 + n × 9) / (m + n)
15m - 11m = 11n - 9n

On solving we get:

m : n = 1 : 2

Therefore (11,15) divides the line in the ratio 1:2
_______________________________________________

P.S : Enjoy;)