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In the equation of circle, the xy term does not occur and the coefficients of `x^(2)` and `y^(2)` are equal. Therefore, <br> `2-q=0` or `q=2` <br> and `p=3` <br> Also, for these values of p and q, the circle is real. Transcript

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00:00 - 00:59 | so we have a question if the equation X square + 2 - 2 X Y + 3 y square - 6 X + 30 Y + 62 equal to zero then represent represent a circle then find the value of P and Q I have already written the general equation of second degree line second degree third if you want to be satisfied that their this equation this general equation represent a circle then there are the two condition that is coefficient of x square equal to coefficient of wire square feet is equal to be should be and coefficient of x y equal to zero that is it should be zero right so we have a question P X square + 2 - q x y + 3 y square - 6 |

01:00 - 01:59 | xy + 3031 + 6 cube equal to zero now if you compare this equation with general equation we get equal to 3 write coefficient of X should be equal to coefficient of why that mean we got ft equal to 3 and coefficient of x y that is H should be zero that is to minus Q should be zero and we got two equal to zero two equal to thank you |

**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**