Question

Co-ordinates of midpoint of A(2,2) and B(3,5) is ____

1.5 , 2.5
2.5 , 3.5
-2.5 , -3.5
-1.5 , -2.5

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Answer 1

`\huge \sf༆ Answer ༄`

Using section formula ~

`\sf x = ( mx_2 + nx_1)/(m + n)`

`\sf y = ( my_2 + ny_1)/(m + n)`

Midpoint divides a line into ratio of 1 : 1, therefore the values m and n are equal to 1

`\sf x = ( x_2+ x_1)/(1 + 1)`

`\sf y= ( y_2+ y_1)/(1 + 1)`

Next step :

Use the coordinates of given points to find the coordinates of mid point ~

that is ;

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = (2 + 3)/(2)`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = (2 + 5)/(2)`

Next step :

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 2.5`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = 3.5`

So, the required option is ~

`\large \sf {(2.5 \: , \: 3.5)}`