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NTA Abhyas JEE Main2020MathematicsDifferential EquationsPractice

The differential equation of the family of ellipses having centres along the line y = 4 and major and minor axes parallel to the coordinate axes is of the order

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

B. 3

Step-by-step solution

The general equation of the family is x - α 2 a 2 + y - 4 2 b 2 = 1 which has three arbitrary constants. Hence, the order of its differential equation will be ‘ 3 ’

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