Answer:
Point of contact ( 3,6)
Step-by-step explanation:
Step(i):-
Given that the points are (1,2) and (6,12)
The ratio 2:3 divides the line segment
The line segment divides m:n externally
[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]
Step(ii):-
(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3
[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]
([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]
([tex]\frac{15}{5} ,\frac{30}{5})[/tex]
(3 , 6)
Final answer:-
Point of contact ( 3,6)
