If `y^2 - 2x - 2y + 5 = 0` is

y^(2) -2x -2y + 5 =0 is a

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

If x^(2) + y^(2) - 4x - 2y + 5 = 0 " and " x^(2) + y^(2) - 6x - 4y - 3 = 0 are members of a coaxal system of circles then centre of a point circle in the system is

The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 14x + 6y + k = 0 intersect orthogonally provided k is equal to...

(1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is orthogonal to x^2 + y^2 = 5 . The conjugate point of (1, 2) w.r.t the circle x^2+y^2 = 5 and which lies on the first circle is

(1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is orthogonal to x^2 + y^2 = 5 . The conjugate point of (1, 2) w.r.t the circle x^2+y^2 = 5 and which lies on the first circle is