The locus of the midpoints of the chords of the circle `x^2+y^2-a x-b y=0` which subtend a right angle at `(a/2, b/2)` is `a x+b y=0` `a x+b y=a^2=b^2` `x^2+y^2-a x-b y+(a^2+b^2)/8=0` `x^2+y^2-a x-b y-(a^2+b^2)/8=0`

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 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 a chord of the circle x^(2)+y^(2)=4 which subtends a right angle at the origins is x+y=2(b)x^(2)+y^(2)=1x^(2)+y^(2)=2(d)x+y=1

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-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 center of circle x^2+y^2-6x+4y-12=0 is (a,b) then (2a + 3b) is

Equation of the diameter of the circle x^(2)+y^(2)-2x+4y=0 which passes through the origin is x+2y=0 b.x-2y=0 c.2x+y=0 d.2x-y=0

If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 is bisected by the circle x^(2) + y^(2) - 2x + 4y + a = 0 , then a + b =

The equation of the circle on the common chord of the circles (x-a)^(2)+y^(2)=a^(2) and x^(2)+(y+b)^(2)=b^(2) as diameter, is