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Question

Find the centre and radius of the circle 2x2 + 2y2 ā€“ x = 0

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Solution

The equation of the given circle is 2x2 + 2y2 ā€“ x = 0.

, which is of the form (x ā€“ h)2 + (y ā€“ k)2 = r2, where h = , k = 0, and .

Thus, the centre of the given circle is, while its radius is.


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