Question

Find the co-ordinates of the point P if P is the midpoint of a line segment AB with A(4,1) and B(-3,5).

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

Answer 1

The correct option is B $(\frac{1}{2},3)$

$\because$ Mid-point of line joining two points $(x_1,y_1)and(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Here, $x_1=4,x_2=-3,y_1=1\&y_2=5$.

$\therefore$ $\text{P}(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{4+(-3)}{2},\frac{1+5}{2})=(\frac{1}{2},3)$.

$\therefore$ Coordinates of P is $(\frac{1}{2},3)$.