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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.

A

`16x^(2) + 16y^(2) -48x + 16y + 31 = 0`

B

`16x^(2) + 16y^(2) + 48x + 48y + 31 = 0`

C

`16x^(2) - 16y^(2) + 48x + 48y + 31 = 0`

D

`16x^(2) - 16y^(2) - 48x + 16y - 31 = 0`

Text Solution

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The correct Answer is:
A
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