Question

What is section formula coordinate geometry what's the use

Answer 1

[Note : refer the given figures in the attachments]

$\boxed{\textbf{\large{SECTION FORMULA}}}$

⚫section formula for internal division

The segment Is internally divided into the ratio of m:n

therefor ,

the coordinates of C is

c(x,y)=

$= (( \frac{mx2 +nx1 }{m + n} )( \frac{my2 + ny1}{m + n} ))$

↪it is use to find the coordinates of a point if the segment is divided in the ratio of m:n ,At a internal division.

⚫Section formula for External division

The segment is externally devided into the ratio of m:n

therefor,

the coordinates of c is

c(x,y)

$= (( \frac{mx2 - nx1 }{m - n} )( \frac{my2 - ny1}{m - n} ))$

↪It is use to find the coordinates of a point if the segment is divided in the ratio of m:n ,at a internal division