Question

If (3, x) is the mid-point of the line segment joining the points A(8, −5 ) and B(−2, 11), then find the value of ‘x ’

• A. 4
• B. -3
• C. -4
• D. 3

Answer 1

The correct option is D 3

Mid point joining $(x_1,y_1)$ and $(x_2,y_2)$ is $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

$\Rightarrow (3,x)=\left(\frac{8-2}{2},\frac{-5+11}{2}\right)\Rightarrow x=3$