Find the locus of the mid-points of chords of constant length in a circle

Find the locus of the middle points of equal chords of a circle.

The locus of the mid-points of the radii of length 16 cm of a circle is

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.

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.

Tangents are drawn from points on the line x+2y=8 to the circle x^(2)+y^(2)=16. If locus of mid-point of chord of contacts of the tangents is a circles S, then radius of circle S will be

Find the locus of the middle points of the chords of the circle x^(2) + y^( 2) = 4 ( y + 1) drawn through the origin.

Find the locus of the mid- point of the chord of the circle x^(2)+y^(2)=a^(2) wint subtends a 90^(@) angle at point (p,q) lying inside the circle.