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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 substend an angle `(2pi)/(3)` at its centre, is

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The correct Answer is:
`16x^(2)+16y^(2) -48x +16 y + 31=0`
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