[tex]\huge \sf༆ Answer ༄[/tex]
Using section formula ~
[tex] \sf x = \dfrac{ mx_2 + nx_1}{m + n}[/tex]
[tex] \sf y = \dfrac{ my_2 + ny_1}{m + n}[/tex]
Midpoint divides a line into ratio of 1 : 1, therefore the values m and n are equal to 1
[tex] \sf x = \dfrac{ x_2+ x_1}{1 + 1}[/tex]
[tex] \sf y= \dfrac{ y_2+ y_1}{1 + 1}[/tex]
Next step :
Use the coordinates of given points to find the coordinates of mid point ~
that is ;
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = \dfrac{2 + 3}{2} [/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = \dfrac{2 + 5}{2} [/tex]
Next step :
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 2.5[/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = 3.5[/tex]
So, the required option is ~
[tex] \large \sf {(2.5 \: , \: 3.5)}[/tex]
