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If a variable circle 'C' touches the x-a...

If a variable circle 'C' touches the x-axis and touches the circle `x^2+(y-1)^2=1` externally, then the locus of centre of 'C' can be:

A

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

B

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

C

`x^2=4y`

D

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

Text Solution

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The correct Answer is:
A
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