Question

The midpoint of segment AB is P(0, 4). If the coordinates of B are (−2, 3), then the coordinates of A are [CBSE 2011]
(a) (2, 5) (b) (−2, −5) (c) (2, 9) (d) (−2, 11)

Answer 1

Let (x, y) be the coordinates of A. Then
$$\begin{gathered} 0=\frac{-2+x}{2}\Rightarrow x=2 \\ 4=\frac{3+y}{2}\Rightarrow y=8-3=5 \end{gathered}$$
Thus, the coordinates of A are (2, 5).
Hence, the correct answer is option (a).