Home
Class 11
MATHS
CIRCLES | GENERAL EQUATION OF CIRCLE | T...

CIRCLES | GENERAL EQUATION OF CIRCLE | 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)`

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

Show that the equation x^(2)+y^(2)+x-y=0 represents a circle find its centre and radius.

The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle of non-zero radius , if

If the equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle with X-axis as a diameter , and radius a, then :

If g^(2)+f^(2)=c , then the equation x^(2)+y^(2)+2gx+2fy+c=0 will represent

The circle represented by the equation x ^(2) + y^(2) + 2gx + 2fy + c=0 will be a point circle, if

For the equation ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0 where a ne 0 , to represent a circle, the condition will be