The differential equation of all circles which pass through the origin and whose centre lie on…

The differential equation of all circles which pass through the origin and whose centre lie on $\mathrm{Y}$-axis is
  1. $\left(x^2-y^2\right) \frac{d y}{d x}-2 x y=0$
  2. $\left(x^2+y^2\right) \frac{d y}{d x}-2 x y=0$
  3. $\left(x^2+y^2\right) \frac{d y}{d x}+2 x y=0$
  4. $\left(x^2+y^2\right) \frac{d y}{d x}+2 x y=0$

Asked in: MHT CET 2021 (20 Sep Shift 1)

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