e-Notes-1


Circles and System of circles
Definition
Standard forms of Equation of a Circle
General equation of a circle
• To Find the Centre and Radius of a Circle whose Equation is Given
• To find the Equation of a circle passing through three non collinear points
Intercept Made by the Circle on the Axis
Equation of a Circle on a Given Diameter
Equation of a Circle in Some Special Cases
• If centre of the circle is (h,k) and it passes through origin
• If the circle touches x axis
• If the circle touches x- axis at origin
• If the circle touches y axis then
• If the circle touches y-axis at origin
• If the circle touches both the axes
• If the circle passes through origin and cut intercepts of a and b on axes