Question

For $A(1,2)$ and $B(3,-2)$, the coordinates of the midpoint of $AB$ are is ..........

• A. $(2,2)$
• B. $(0,0)$
• C. $(2,0)$
• D. $(0,2)$

Answer 1

The correct option is C $(2,0)$

Given : $A=(1,2)\equiv (x_1,y_1)$ and $B=(3,-2)\equiv (x_2,y_2)$

Let $M=(x,y)$ be the midpoint of $AB$

$x=\left(\frac{x_1+x_2}{2}\right)$ and $y=\left(\frac{y_1+y_2}{2}\right)$

Then, $x=\frac{1+3}{2}$ and $y=\frac{2-2}{2}$

$⟹x=2$ and $y=0$

$\therefore M=(2,0)$

$\therefore$ Coordinates of the midpoint of $AB$ is $(2,0)$