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S(x ,y)=0 represents a circle. The equat...

`S(x ,y)=0` represents a circle. The equation `S(x ,2)=0` gives two identical solutions: `x=1` . The equation `S(1,y)=0` given two solutions: `y=0,2.` Find the equation of the circle.

A

`x^(2)+y^(2)+2x-2y+1=0`

B

`x^(2)+y^(2)-2x+2y+1=0`

C

`x^(2)+y^(2)-2x-2y-1=0`

D

`x^(2)+y^(2)-2x-2y+1=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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