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Question
Find the coordinates of the centre and radius of each of the following circles: 2x2 + 2y2 − 3x + 5y = 7
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Solution
The given equation can be rewritten as
∴ Centre = \[\left( \frac{3}{4}, \frac{- 5}{4} \right)\]
And, radius = \[\sqrt{\left( \frac{3}{4} \right)^2 + \left( \frac{- 5}{4} \right)^2 + \frac{7}{2}} = \sqrt{\frac{34 + 56}{16}} = \sqrt{\frac{90}{16}} = \frac{3\sqrt{10}}{4}\]
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