locus of the middle point of the chords of the circle `x^2+y^2+2gx+2fy+c=0` which passed through a fixed point `(a,b)`

Find the locus of the middle points of the chords of the circle x^2+y^2=a^2 which pass through a given point (x_1,y_1)

Find the locus of the mid points of the chords of the circle x^2 + y^2 -2x -6y - 10 = 0 which pass through the origin.

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle.The radius of that circle is

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

The locus of the middle points of the chords of hyperbola (x^(2))/(9) - (y^(2))/(4) =1 , which pass through the fixed point (1, 2) is a hyperbola whose eccentricity is

The locus of the middle points of the chords of hyperbola (x^(2))/(9) - (y^(2))/(4) =1 , which pass through the fixed point (1, 2) is a hyperbola whose eccentricity is