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Question
f 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
Options
(−6, 7)
(6, −7)
(6, 7)
(−6,−7)
Solution
Let O(−2, 5) be the centre of the given circle and A(2, 3) and B(x, y) be the end points of a diameter of the circle.
Then, O is the mid-point of AB.
Using mid-point formula, we have
Hence, the correct answer is option A.
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