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JEE Math Practice Question

The differential equation of the family of circles with fixed radius $$5$$ units and centre on the line $$y = 2$$ is :

  1. A.$$\left( {x - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}$$
  2. B.$$\left( {y - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}$$
  3. C.$${\left( {y - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}$$
  4. D.$${\left( {x - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}$$

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