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JEE Main2013MathematicsParabolaActual

Statement-1: The slope of the tangent at any point P on a parabola, whose axis is the axis of x and vertex is at the origin, is inversely proportional to the ordinate of the point P . Statement-2: The system of parabolas y^2=4 a x satisfies a differential equation of degree 1 and order 1.

Options

  1. AStatement-1 is true; Statement- 2 is true; Statement-2 is a correct explanation for statement-1.
  2. BStatement-1 is true; Statement-2 is true; Statement- 2 is not a correct explanation for statement-1.
  3. CStatement-1 is true; Statement- 2 is false.
  4. DStatement-1 is false; Statement- 2 is true.

Correct answer

B. Statement-1 is true; Statement-2 is true; Statement- 2 is not a correct explanation for statement-1.

Step-by-step solution

- Statement -1: y^2= 4 a x d y d x = 2 a 1 y d y d x 1 y Statement -2: y^2=4 a x 2 y d y d x =4 a Thus both statements are true but statement-2 is not a correct explanation for statement-1.

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