JEE Math Practice Question
The differential equation of all circles passing through the origin and having their centres on the $$x$$-axis is :
- A.$${y^2} = {x^2} + 2xy{{dy} \over {dx}}$$
- B.$${y^2} = {x^2} - 2xy{{dy} \over {dx}}$$
- C.$${x^2} = {y^2} + xy{{dy} \over {dx}}$$
- D.$${x^2} = {y^2} + 3xy{{dy} \over {dx}}$$
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