Find the locus of the midpoint of the chord of the circle `x^2+y^2-2x-2y=0` , which makes an angle of `120^0` at the center.

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 locue of the mis-points of the chords of the circel x ^(2) + y ^(2) + 2x -2y-2=0 which make an angle of 90^(@) at the centre 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

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

The locus of the midpoint of the chord of the circle x^2 + y^2 =4 which subtends a right angle at the origin is?

Find the locus of the midpoint of the chords of the circle x^(2)+y^(2)=a^(2) which subtend a right angle at the point (c,0) .