The equation of the chord of the circle `x^(2)+y^(2)-4x+6y-3=0` having (1,-2) as it midpoint is

The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1, -1) as its midpoint is

The midpoint of the chord y=x-1 of the circle x^(2)+y^(2)-2x+2y-2=0 is

The equation of the chord of x^(2)+y^(2)-4x+6y+3=0 whose mid point is (1,-2) is

The equation of the normal at (1,2) to the circle x^(2)-y^(2)-4x-6y-12=0 is

Find the equation of the chord of the circle x^(2)+y^(2)+6x+8y-11=0, whose midpoint is (1,-1)

Find the equation of the tangent to the circle x^2+y^2-4x-6y-12=0 at (-1,-1)

Find the equation to the common chord of the two circles x^(2) + y^(2) - 4x + 6y - 36 = 0 and x^(2) + y^(2) - 5x + 8y - 43 = 0 .

The equation of a chord of the circle x^(2)+y^(2)+4x-6y=0 is given by x+2y=0. The equation of the circle described on this chord as diameter is

The equation of the diameter of the circle x^(2) + y^(2) -4x-6y +3 = 0 that is perpendicular 2x + 5y-6 = 0 is

The equation of the circle concentric to the circle 2x^(2)+2y^(2)-3x+6y+2=0 and having double the area of this circle, is