Given:
Point P is Nine-elevenths of the distance from M to N.
To find:
The ratio in which point P partition the directed line segment from M to N.
Solution:
It is given that, point P is Nine-elevenths of the distance from M to N. So,

It can be written as

Let the lengths of MP and MN are 9x and 11x respectively. Then,



Now,



It means, point P divides the line segment MN in 9:2.
Therefore, the correct option is A.