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…

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