JEE Main 2008Annual, Paper 1MathematicsMediumCoordinate Geometry478× since 2002The differential equation of the family of circles with fixed radius 555 units and centre on the line y=2y = 2y=2 is :AOption A. (x−2)y2=25−(y−2)2\left( {x - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}(x−2)y2=25−(y−2)2BOption B. (y−2)y2=25−(y−2)2\left( {y - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}(y−2)y2=25−(y−2)2COption C. (y−2)2y2=25−(y−2)2{\left( {y - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}(y−2)2y2=25−(y−2)2DOption D. (x−2)2y2=25−(y−2)2{\left( {x - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}(x−2)2y2=25−(y−2)2CheckSkip · show solution
