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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
Options
(3, 1)
x = 4, y = 1
x = 8, y = 2
none of these
Solution
none of these
The end points of the diameter of a circle are (x, 3) and (3, 5).
According to the question, we have:
\[\frac{x + 3}{2} = 2, y = \frac{5 + 3}{2}\]
\[ \Rightarrow x = 1, y = 4\]
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