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A circle with center (2, 2) touches the ...

A circle with center (2, 2) touches the coordinate axes and a straight line AB where A and B ie on direction of coordinate axes such that the lies between and the line AB be the origin then the locus of circumcenter of `triangle OAB` will be:

A

`xy=x+y+sqrt(x^(2)+y^(2))`

B

`xy=x+y-sqrt(x^(2)+y^(2))`

C

`xy+x+y=sqrt(x^(2)+y^(2))`

D

`xy+x+y+sqrt(x^(2)+y^(2))=0`

Text Solution

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The correct Answer is:
A
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