The locus of the centres of the circles,...

The locus of the centres of the circles, which touch the circle, ` x^(2)+y^(2)=1` externally, also touch the Y-axis and lie in the first quadrant, is

A

`x= sqrt(1+4y), y ge 0`

B

`y= sqrt(1=4x), x ge 0`

C

`x= sqrt(1+ 2y), y ge 0`

D

`y= sqrt(1+ 2x), x ge 0`

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The correct Answer is:

D

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