Question

please answer this question ​

Answer 1

Given

P(2,5) divides the line segment joining the points A(8,2) and B(−6,9).

Let P divides the AB in the ratio m:n

2 =(mx2+nx1)/(m+n)

2=(m(-6)+n(8))/(m+n)

2m+2n=(-6m+8n)

2m+6m=8n-2n

8m=6n

m/n=6/8

m:n=3:4