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MHT CET20192 May 2019Morning ShiftMathematicsDifferential EquationsActual

The order of the differential equation of all circles whose radius is 4 , is ________

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

Let general equation of circle is x 2 + y 2 + 2 g x + 2 f y + c = o Its radius, g 2 + f 2 - c = 4 Then, c = g 2 + f 2 - 16 Hence, we have 2 necessary arbitrary constants g and f. Then, order of differential equation is 2.

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