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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 at its centre is `(2pi)/3` at its centre is `x^2 + y^2-kx + y +31/16=0` then k is

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