Define power of a point `p(x,y)` with respect to the circle `(s)=x^(2)+y^(2)+2gx+2fy+c=0`.

Power of the point P(x_(2),y_(2)) with respect to the circle s=0 is

The power of P(1,2) with respect to the circle x^(2)+y^(2)+4x+2y+3=0 is double the power of P with respect to x^(2)+y^(2)+2x+y+k=0 then k=

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

Statement 1: The least and greatest distances of the point P(10,7) from the circle x^(2)+y^(2)-4x-2y-20=0 are 6 units and 15 units,respectively.Statement 2: A point (x_(1),y_(1)) lies outside the circle S=x^(2)+y^(2)+2gx+2fy+c=0 if S_(1)>0 where S_(1)=x_(1)^(2)+y_(1)^(2)+2gx_(1)+2fy_(1)+c

Under which one of the following conditions does the circle x^(2) + y^(2) + 2gx + 2fy +c = 0 meet the x-axis in two points on opposite sides of the origin?

The distance between the chords of contact of tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 from the origin and the point (g,f) is:

The distance between the chords of contact of tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 from the origin & the point (g,f) is

The equation of the normal at P(x_(1),y_(1)) to the circle x^(2)+y^(2)+2gx+2fy+c=0 is

If p(x_(1) y_(1)) is the midpoint of a chord AB( other than the diameter)of the circle s-=x^(2)+y^(2)+2gx+2fy+c=0 then equation of secant bar(AB) is