The curve amongst the family of curves represented by the differential equation, (x^ 2…

Mathematics · JEE Main · NTA ExamsDifferential Equations

The curve amongst the family of curves represented by the differential equation, \(\left(x^{2}-y^{2}\right) d x+2 x y d y=0\) which passes through (1, 1) is
  1. a circle with centre on the y-axis
  2. an ellipse with major axis along the y-axis
  3. a circle with centre on the x-axis
  4. a hyperbola with transverse axis along the x-axis

Answer

(C) a circle with centre on the x-axis

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