(a) Find the coordinates of the centre and the length of the radius for the circle x2 + y2 − 4x − 8y − 5 = 0.

Question

(a) Find the coordinates of the centre and the length of the radius for the circle x2 + y2 − 4x − 8y − 5 = 0.
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Solution 1

The equation of a circle is generally given by (x-a)² + (y-b)² = r² where (a,b) is the center of the circle and r is the radius.

The given equation is x² + y² - 4x - 8y - 5 = 0.

To find the center and the radius, we need to rewrite this equation in the form (x-a)² + (y-b)² = r².

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