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The locus of centre of the circle which ...

The locus of centre of the circle which touches the circle `x^(2)+(y-1)^(2)=1` externally and also touches x-axis is

A

`{(x,y):x^(2) +(y-1)^(2)=4} uu {(x,y): y lt 0}`

B

`{(x,y): x^(2)=4y} uu {(0, y): y lt 0}`

C

`{(x,y):x^(2)=y} uu {(0, y): y lt 0}`

D

`{(x,y) :x^(2)=4y} uu {(x,y):y lt 0}`

Text Solution

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The correct Answer is:
B
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