The locus of mid point of chord of the circle `x^2+y^2+2ax-2y-23=0` length 8 unit is

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

The locus of the mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0

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

If the locus of the mid points of the chords of the circle x^(2)+y^(2)-2x+2y-2=0 which are parallel to the line y=x+5 is ax+by+c=0(a>0) then (a+c)/(b)=

The locus of the mid points of the chords of the circle x^(2)+y^(2)-ax-by=0 which subtends a right angle at ((a)/(2),(b)/(2)) 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

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 midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is