The equation of the locus of the mid-points of chords of the circle `4x^2 + 4y^2-12x + 4y +1= 0` that subtends an angle of `(2pi)/3` at its centre is `x^2 + y^2-kx + y +31/16=0` then k is

The equation of the locus of the mid-points of chords of the circle 4x^(2) + 4y^(2) -12x + 4y + 1 = 0 that substend an angle (2pi)/(3) at its centre, 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-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2pi)/3 at its center is (a) x^2+y^2=3/2 (b) x^2+y^2=1 (c) x^2+y^2=27/4 (d) x^2+y^2=9/4

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 circle 4x^(2)+4y^(2)-12x-12y+9=0

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

Find the centre and radius of the circle x^(2) + y^(2) - 6x + 4y - 12 =0 .

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-12=0 which subtend an angle of pi/3 radians at its circumference is: (A) (x-2)^2+(y+3)^2=6.25 (B) (x+2)^2+(y-3)^2=6.25 (C) (x+2)^2+(y-3)^2=18.75 (D) (x+2)^2+(y+3)^2=18.75