Question

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

• A. $\frac{3}{2},-1$
• B. $-\frac{3}{2},-1$
• C. $\frac{3}{2},1$
• D. $-\frac{3}{2},1$

Answer 1

The correct option is A $\frac{3}{2},-1$

If (x, y) are the midpoints of the line segment joining $(x_1,y_1)$ and $(x_2,y_2)$,

then $x$ = $\frac{x_1+x_2}{2}$ and $y$ = $\frac{y_1+y_2}{2}$.

Let the coordinates of mid-point of the line segment joining the points (2, 1) and (1, -3) be (x, y).

$\Rightarrow$ $x$ = $\frac{2+1}{2}$ and $y$ = $\frac{1-3}{2}$.

So, $x$ = $\frac{3}{2}$ and $y$ = -1.