# Let A be #(−3,5)# and B be #(5,−10))#. Find: (1) the length of segment #bar(AB)# (2) the midpoint #P# of #bar(AB)# (3) the point #Q# which splits #bar(AB)# in the ratio #2:5#?

##### 1 Answer

**(1)** the length of the segment

**(2)** Midpoint of

**(3)** The coordinates of the point

#### Explanation:

If we have two points

and coordinates of the point

and as midpoint divided segment in ratio

As we have

**(1)** the length of the segment

=

**(2)** Midpoint of

**(3)** The coordinates of the point

i.e.