Point P(-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

Answer: Option A

Solution

Answer: Option A

Solution:

$$\begin{array}{rl}& \Rightarrow \text{mid point co - ordinate}\left(\frac{-5+x}{2},\frac{y+3}{2}\right)\\ & \Rightarrow \frac{-5+x}{2}=-2\\ & \Rightarrow -5+x=-4\\ & \Rightarrow x=1\end{array}$$