Find the equation of the chord of the circle `x^2 + y^2 + 6x+8y+9=0`, whose middle point is `(-2, -3)`.

Find the equation of the chord of the circle x^2+y^2=9 whose middle point is (1,-2)

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

Find the equation of the tangent to the circle x^(2) + y^(2) - 2x + 8y - 23 = 0 at the point P(3, - 10) on it.

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of the circle concentric with the circle 2x^2 + 2y^2 - 6x + 8y+1=0 and of double its area.

Find the equation of that focal chord of the parabola y^(2)=8x whose mid-point is (2,0).

Find the centre and radius of the circle 3x^(2) +3y^(2) - 6x +9y - 8 =0 .

STATEMENT-1 : The equation of chord of circle x^(2) + y^(2) - 6x + 10y - 9 = 0 , which is be bisected at (-2, 4) must be x + y = 2. and STATEMENT-2 : The equation of chord with mid-point (x_(1), y_(1)) to the circle x^(2) + y^(2) = r^(2) is xx_(1) + yy_(1) = x_(1)^(2) + y^(2) .