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NDA2010MathematicsDifferential EquationsActual

Which one of the following is the differential equation to family of circles having centre at the origin?

Options

  1. A(x^2-y^2 ) d y d x =2 x y
  2. B(x^2+y^2 ) d y d x =2 x y
  3. Cd y d x = (x^2+y^2 )
  4. Dx d x+y d y=0

Correct answer

D. x d x+y d y=0

Step-by-step solution

The correct answer is option (D).

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