Question

The mid-point of the line segment joining $(2,1)$ and $(5,3)$ is

• A. $(\frac{7}{2},\frac{5}{2})$
• B. $(\frac{5}{2},\frac{7}{2})$
• C. $(\frac{7}{2},2)$
• D. $(\frac{5}{2},2)$

Answer 1

The correct option is C

$(\frac{7}{2},2)$

Let the coordinates of the mid-point to be found be $P(x,y).$

The mid-point of the line joining two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Then the mid-point of the line segment joining $(2,1)$ and $(5,3)$ is given by,

$(x,y)=(\frac{2+5}{2},\frac{1+3}{2})=(\frac{7}{2},2)$