`ax ^(2) + 2y ^(2) + 2bx y +2x -y + x=0` represents a circle through the origin, if

The equation ax^(2) + 2bxy + 2y^(2) + 2x - y + c = 0 represents a circle through the origin , if

If ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle then a,bare

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is f^2> c (b) g^2>2 c >0 (d) h=0

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is f^2> c (b) g^2>2 c >0 (d) h=0

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is (a) f^2> c (b) g^2>2 (c) c >0 (d) h=0

A circle passing through the intersection of the circles x ^(2) + y^(2) + 5x + 4=0 and x ^(2) + y ^(2) + 5y -4 =0 also passes through the origin. The centre of the circle is

Statement-1: The equation x^(2)-y^(2)-4x-4y=0 represents a circle with centre (2, 2) passing through the origin. Statement-2: The equation x^(2)+y^(2)+4x+6y+13=0 represents a point.

Statement-1: The equation x^(2)-y^(2)-4x-4y=0 represents a circle with centre (2, 2) passing through the origin. Statement-2: The equation x^(2)+y^(2)+4x+6y+13=0 represents a point.

Equation of the diameter of the circle x^(2) +y^(2) - 2x + 4y = 0 which passes through the origin is

The diameter of the circle concentric to the circle x^(2) + y^(2) + 4x - 2y = 20 and passes through the origin is -