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Solution :

Let equation of circle concentric with circle `x^(2)+y^(2)-4x +2y -1-0` be <br> `x^(2)+y^(2)-4x+2y+x=0`...(1) <br> This circle passes through the point (3, 2) <br> `:. 9+4-12+4+c=0` <br> `rArr c=-5` <br> Put `c=-5` in eq. (1) <br> `x^(2)+y^(2)-4x+2y-5=0`.**Standard equation of circle**

**General Equation of Circle When the circle passes through the origin.**

**General Equation of Circle When the circle touch x axis and y axis .**

**General Equation of Circle When the circle touches both the axis.**

**Important points to remember**

**Find the Equation; radius; center of the circle and its x intercept and y intercept ?**

**Theorem:- Prove that the equation `x^2+y^2+2gx+2fy+c=0` always represent a circle whose centre is `(-g;-f)` and radius `sqrt(g^2+f^2-c)`**

**Diameter form of the circle**

**Parametric form of circle**

**Equation of a circle passing through 3 points**