Home
Class 11
MATHS
Theorem:- Prove that the equation x^2+y^...

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

If the equation ax^(2)+ay^(2)+2gx+2fy+c=0 represents a pair of lines then

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 + 1 = 0 represents a pair of lines, then

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

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

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

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then