BodhiAI

Nov. 15, 2019
**General Equation of the Circle**

Let the central form of the equation of circle with centre at C(h, k) and having radius a is given by the equation

⇒ ** **

⇒

⇒** ......(1) **

In general form, we have

** ......(2)**

Comparing (1) and (2), we have

** and**** **

Hence, the equation

** **

is the general equation of the circle in two degree and two variables the abscissa of whose centre is minus of half of coefficient of x and ordinate is minus of half of coefficient of y i.e. (-g, -f) and

Radius