r > 0 Does circles touch externally or internally ? radius = (a,b)

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r > 0 Does circles touch externally or internally ? radius = (a,b) centre = (-g,-f) (x - a)2 + (y - b)2 = r2 x2 + y2 + 2gx + 2fy + c =0 Finding centre and radius from circle equation Equation from graph Is equation a circle ? r > 0 Circle TYPE questions (Straight Line , Quadratics) Intersection points between line and circle (a,b) Equation of tangent Steps Sub line equation y = ... into circle. Discriminant to establish how many points. Factorise for x coordinates and sub into line equation for y coordinates 3 possible scenarios Steps Find gradient of centre to point Use m1 x m2 = -1 to find gradient of line Use y – b = m(x - a)