JEE Main 202225 Jun, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is :AOption A. y=2xy = \sqrt 2 xy=2xBOption B. x=2yx = \sqrt 2 yx=2yCOption C. y2−x2=2xy{y^2} - {x^2} = 2xyy2−x2=2xyDOption D. x2−y2=2xy{x^2} - {y^2} = 2xyx2−y2=2xyCheckSkip · show solution