The equation of the locus of the mid-poi...

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

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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

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