Mathematics - Algebra
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(a) The equation x2 - 12x + y2 +4y+ 15 = 0 specifies a circle. Find its centre and radius.
(b) Find the coordinates of any points at which the circle in part (a) intersects the line y = x - 9
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(1) The circle x^2 + y^2 - 12x + 4y + 15 = 0 has the form x^2 + y^2 + 2gx + 2fy + c = 0
2g = -12, 2f = 4, c = 15
g = -6, f = 2
The center is given by (-g, -f) = (6, ...
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