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Question

Find the centre and radius of the circle (x + 5)2 + (y – 3)2 = 36

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Solution

The equation of the given circle is (x + 5)2 + (y – 3)2 = 36.

(x + 5)2 + (y – 3)2 = 36

⇒ {x – (–5)}2 + (y – 3)2 = 62, which is of the form (xh)2 + (yk)2 = r2, where h = –5, k = 3, and r = 6.

Thus, the centre of the given circle is (–5, 3), while its radius is 6.


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