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The locus of the mid-points of the chord...

The locus of the mid-points of the chords of the circel `x ^(2) + y ^(2) + 2x -2y-2=0` which make an angle of `90^(@)` at the centre is

A

`x ^(2)+ y^(2)-2x -2y =0`

B

`x ^(2) + y^(2) -2x + 2y =0`

C

`x ^(2) + y^(2) + 2x -2y =0`

D

`x ^(2) + y^(2) + 2x -2y -1=0`

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The correct Answer is:
C
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