Answer: The coordinates of point B are (19 , 20).
Step-by-step explanation:
The mid point (x,y) of line joining (a,b) and (c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] (1)
Given : Point A is located at (3,6). The midpoint of line segment AB is point C(11,13).
Let the coordinates of point B are (a,b) m, the according to (1) , we have
[tex](\dfrac{3+a}{2},\dfrac{6+b}{2})=(11,13)\\\\\Rightarrow\ \dfrac{3+a}{2}=11\ \ ,\ \ \dfrac{6+b}{2}=13\\\\\Rightarrow\ 3+a=22\ \ ,\ \ \ 6+b=26\\\\\Rightarrow\ a=19,\ \ b= 20[/tex]
Hence, the coordinates of point B are (19 , 20).
