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Question -

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



Answer -

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 (x – h)2 + (y – k)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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