Answer: option A
Explanation:
Let,
(x,y) be the coordinate of point M.
Here M divides the line AB in ratio 2:3.
I'll write given information in a standard format so that you can easily apply it in formula:
A(0,15)=A(x1,y1)
B(20,0)=B(x2,y2)
ratio(m1:m2)=2:3
Now we use section formula of internal division to find coordinates of M,
x=(m1 × x2 + m2 × x1)/(m1+m2)
=(2×20+3×0)/(2+3)
=40/5
=8
&,
y=(m1 × y2 + m2 × y1)/(m1+m2)
=(2×0+3×15)/(2+3)
=45/5
=9
Required answer: M(8,9)
