JEE Main 2013 Mathematics question

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 satisfies a differential equation of degree 1 and order 1.

• (1)Statement-1 is true; Statement- 2 is true; Statement-2 is a correct explanation for statement-1.
• (2)Statement-1 is true; Statement-2 is true; Statement- 2 is not a correct explanation for statement-1.Correct
• (3)Statement-1 is true; Statement- 2 is false.
• (4)Statement-1 is false; Statement- 2 is true.