Question

If (x, 3) and (3, 5) are the extremities of a diameter of a circle with centre at (2, y), then the values of x and y are
(a) (3, 1)
(b) x = 4, y = 1
(c) x = 8, y = 2
(d) none of these

Answer 1

(d) none of these

The end points of the diameter of a circle are (x, 3) and (3, 5).

According to the question, we have:

$$\begin{gathered} \frac{x+3}{2}=2,y=\frac{5+3}{2} \\ \Rightarrow x=1,y=4 \end{gathered}$$