JEE Math Practice Question
The differential equation for the family of circle $${x^2} + {y^2} - 2ay = 0,$$ where a is an arbitrary constant is :
- A.$$\left( {{x^2} + {y^2}} \right)y' = 2xy$$
- B.$$2\left( {{x^2} + {y^2}} \right)y' = xy$$
- C.$$\left( {{x^2} - {y^2}} \right)y' =2 xy$$
- D.$$2\left( {{x^2} - {y^2}} \right)y' = xy$$
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