Question

If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are [CBSE 2012]
(a) (−6, 7) (b) (6, −7) (c) (4, 2) (d) (5, 3)

Answer 1

Let (x, y) be the coordinates of the other end of the diameter. Then
$$\begin{gathered} -2=\frac{2+x}{2}\Rightarrow x=-6 \\ 5=\frac{3+y}{2}\Rightarrow y=7 \end{gathered}$$
Hence, the correct answer is option (a).