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What does the equation x d y d x -2 y=0 represent?

Options

  1. AA family of straight lines
  2. BA family of circles
  3. CA family of parabolas
  4. DA family of ellipses

Correct answer

C. A family of parabolas

Step-by-step solution

aligned & x d y d x -2 y=0 & x d y d x =2 y aligned 1 y dy =2 1 x dx aligned & ny =2 x+ nc & ny = nx ^2+ nc & n y= n ( cx ^2 ) & y = cx ^2 aligned It represent the equation of parabolas.

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