Question

find the midpoint the point A (4,2) B (2,-1)​

Answer 1

Co-ordinates of midpoint of line joining (a,b) and (c,d) is given as :-

$\boxed{\boxed{\rm \rightarrow \bigg( \dfrac{a + c}{2} \: , \: \dfrac{b + d}{2} \bigg)}}$

$\rm here : \\ \\ \tt a = 4 \\ \\ \tt b = 2 \\ \\ \tt c= 2 \\ \\ \tt d = - 1$

Let p ( m,n ) be midpoint of midpoint of line joining A (4,2) and B (2,-1) :-

$\rm \longrightarrow p(m,n) = \bigg( \dfrac{4+ 2}{2} \: , \: \dfrac{2 - 1}{2} \bigg) \\ \\ \rm \longrightarrow p(m,n) = \bigg( \dfrac{6}{2} \: , \: \dfrac{1}{2} \bigg) \\ \\ \rm \longrightarrow p(m,n) = \bigg( 3\: , \: \dfrac{1}{2} \bigg)$

Answer :

Midpoint the point A (4,2) and B (2,-1) = (3, 1/2)