The coordinates of the middle point of the chord cut-off by `2x-5y+18=0` by the circle `x^2+y^2-6x+2y-54=0` are (a)`(1,4)` (b) `(2,4)` (c) `(4,1)` (d) `(1,1)`

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-31=0? (a) (1,-2) (b) (1,4) (c)(1,2) (d) 1,-4)

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (a) (2,4) (b) (2,-4) (c) (18 ,-12) (d) (8,8)

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (2,4) (b) (2,-4) (18 ,-12) (d) (8,8)

Find the locus of the centres of the circle which cut the circles x^2+y^2+4x-6y+9=0 and x^2+y^2-5x+4y-2=0 orthogonally

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 (a) x+y=2 (b) x^2+y^2=1 (c) x^2+y^2=2 (d) x+y=1

If the coordinates at one end of a diameter of the circle x^(2) + y^(2) - 8x -4y + c=0 are (11,2) the coordinates of the other end are

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x-5y=20 to the circle x^2+y^2=9 is : (A) 20(x^2+y^2)-36+45y=0 (B) 20(x^2+y^2)+36-45y=0 (C) 20(x^2+y^2)-20x+45y=0 (D) 20(x^2+y^2)+20x-45y=0

Find the equation of the radical axis of x^2 + y^2 – 2x – 4y – 1= 0, x^2 + y^2 – 4x – 6y + 5 = 0 .