Question

In the given figure, P is the midpoint of AB. Find the value of m.

• A. 2
• B. -3
• C. -2
• D. 3

Answer 1

The correct option is D 3

We know that th​​​e coordinates of the midpoint of a line formed by joining two points $(x_1,y_1)and(x_2,y_2)$ are $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

Here, $x_1=m,x_2=5,y_1=2and{y}_2=-6$.

Let the coordinates of the point P be (x, y).

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

$(4,-2)=(\frac{m+5}{2},\frac{2+(-6)}{2})$

$\Rightarrow 4=\frac{m+5}{2}$

$\Rightarrow m+5=8$

$\therefore m=3$