Answer:
The co-ordinates of B are ( 7,1)
Step-by-step explanation:
Step(i):-
Given that 'M' is the midpoint of AB
Given co-ordinate points are A(-1,5) and midpoint M(3,3)
we know that the midpoint formula
[tex]midpoint = (\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](3,3) = (\frac{-1+x_{2} }{2} ,\frac{5+y_{2} }{2} )[/tex]
Step(ii):-
Equating
[tex]3 = \frac{-1+x_{2} }{2}[/tex] and [tex]\frac{5+y_{2} }{2} = 3[/tex]
cross multiplication, we get
6 = -1 + x₂ and 6 = 5 +y₂
x₂ = 6+1 and y₂ = 6-5
x₂ = 7 and y₂ = 1
Final answer:-
The co-ordinates of B are ( 7,1)
