Question

If point P is Nine-elevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

9:2
9:9
9:11
9:13

Answer 1

A . on E D G E

Explanation:

trust

Answer 2

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,

`(MP)/(MN)=(9)/(11)`

It can be written as

`(MP)/(MN)=(9)/(11)`

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

`PN=MN-MP`

`PN=11x-9x`

`PN=2x`

Now,

`(MP)/(PN)=(9x)/(2x)`

`(MP)/(PN)=(9)/(2)`

`(MP)/(PN)=9:2`

It means, point P divides the line segment MN in 9:2.

Therefore, the correct option is A.