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Set of all points equidistant from fixed point (centre)
(x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2(x−h)2+(y−k)2=r2, centre (h,k)(h,k)(h,k), radius rrr
x2+y2=1x^2 + y^2 = 1x2+y2=1
Set x=0x = 0x=0 and solve for yyy
Set y=0y = 0y=0 and solve for xxx
x2+y2−2hx−2ky+c=0x^2 + y^2 - 2hx - 2ky + c = 0x2+y2−2hx−2ky+c=0
Coefficients of x2x^2x2 and y2y^2y2 both 1, no xyxyxy term
y=+r2−x2y = +\sqrt{r^2 - x^2}y=+r2−x2
y=−r2−x2y = -\sqrt{r^2 - x^2}y=−r2−x2
Centre coords appear with opposite signs
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