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

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

The locus of mid-points of the chords of the circle x^2 - 2x + y^2 - 2y + 1 = 0 which are of unit length is :

The locus of mid-points of the chords of the circle x^(2)-2x+y^(2)-2y+1=0 which are of unit length 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

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

The distanc of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x + 4y - 2 = 0 " and " x^(2) + y^(2) - 2x + 8y + 3 = 0

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0