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MHT CET202120 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

The differential equation of an ellipse whose major axis is twice its minor axis, is

Options

  1. Ax+4 y d y d x =0
  2. Bx-4 y d y d x =0
  3. Cx+2 y d y d x =0
  4. DNone of these

Correct answer

A. x+4 y d y d x =0

Step-by-step solution

For the given ellipse, we have a =2 ~b x ^2 4 ~b ^2 + y ^2 ~b ^2 =1 x ^2+4 y ^2=4 ~b ^2 Differentiating both sides w.r.t., we get 2 x+8 y d y d x =0 x+4 y d y d x =0

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