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AP EAMCET202022 Sep 2020Morning ShiftMathematicsDifferential EquationsActual

If it is mentioned that for a curve passing through (3,4) , the slope of the curve at any point is the reciprocal, of twice the ordinate of that point, then that curve is a

Options

  1. AEllipse
  2. BParabola
  3. CHyperbola
  4. DCircle

Correct answer

B. Parabola

Step-by-step solution

According to given information the slope of curve at point (x, y) is d y d x = 1 2 y 2 y d y= d x y^2=x+c Curve (i) passes through point (3,4) , so c=13 . Required curve y^2=x+13 and it is a parabola.

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