If x-axis is tangent to the circle `x^(2) +y^(2) +2gx + fy + k = 0`. Then which one of the following is correct ?

If the circle x^(2) + y^(2) + 2gx + 2fy + x = 0(c gt 0) touches the y-axis then which one of the following is correct ?

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

If the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 does not intersects the X - axis then ……..

If O is the origin and OP, OQ are distinct tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangle OPQ is

If O is the origin and OP, OQ are distinct tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangle OPQ is

If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangleOPQ is