The locus of the mid-points of the chords of the circles `x^2+ y^2-2x-4y - 11=0` which subtends an angle of 60° at centre is

The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4y - 11=0 which subtends an angle of 60^@ at center is

The locus of the mid-points of the chords of the circles x^(2)+y^(2)-2x-4y-11=0 which subtends an angle of 60 at centre is

Find the locus of the mid-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

Find the locus of the mid-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

The equation of the locus of the mid-points of chords of the circle 4x^2 + 4y^2-12x + 4y +1= 0 that subtends an angle of at its centre is (2pi)/3 at its centre is x^2 + y^2-kx + y +31/16=0 then k is

The locus of the mid-points of the chords of the circle x^(2)+y^(2)+2x-2y-2=0 which make an angle of 90^(@) at the centre is

The equation of the locus of the mid-points of chords of the circle 4x^2 + 4y^2-12x + 4y +1= 0 that subtends an angle of (2pi)/3 at its centre is x^2 + y^2-kx + y +31/16=0 then k is