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Find the locus of mid-points of the chor...

Find the locus of mid-points of the chords of the circle `4x^(2)+4y^(2)-12x+4y+1=0` that subtend an angle of `(2pi)/(3)` at its centre.

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The correct Answer is:
`16x^(2)+16y^(2) -48x +16 y + 31=0`
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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
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