Question

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

• A. - 10
• B. - 1
• C. - 6
• D. - 12

Answer 1

The correct option is D - 12

Co-ordinates of P (4,-3) by midpoint theorem,
$\text{P}(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Here,
$x_1=3,x_2=5,y_1=6\&y_2=m$

$\Rightarrow -3=\frac{y_1+y_2}{2}\Rightarrow -3=\frac{6+m}{2}$
$\Rightarrow m+6=-6$
$\therefore m=-12.$