Angle between tangents at the ends chord...

Angle between tangents at the ends chords of circle `(x-1)^(2)+(y-2)^(2)=16` is `60^(@)` then locus of midpoints of all such chords is

A

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

B

`(x-1)^(2)+(y-2)^(2)=4`

C

`x^(2)+y^(2)=4`

D

`(x-1)^(2)+(y-2)^(2)=16`

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The correct Answer is:

B

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