JEE Math Practice Question
A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is :
- A.$$y = \sqrt 2 x$$
- B.$$x = \sqrt 2 y$$
- C.$${y^2} - {x^2} = 2xy$$
- D.$${x^2} - {y^2} = 2xy$$
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