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(D) The general equation of a parabola with latus rectum $4a$ and axis parallel to the $x$-axis is given by $(y-k)^2 = 4a(x-h)$.Here,$a$ is a fixed pa

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Two

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(D) The general equation of a parabola with latus rectum $4a$ and axis parallel to the $x$-axis is given by $(y-k)^2 = 4a(x-h)$.Here,$a$ is a fixed parameter (given as the latus rectum length),while $h$ and $k$ are arbitrary constants representing the coordinates of the vertex $(h, k)$.Since there are $2$ arbitrary constants,the order of the differential equation is equal to the number of arbitrary constants.Therefore,the order of the differential equation is $2$.

The order of the differential equation of all parabolas,whose latus rectum is $4a$ and axis is parallel to the $x$-axis,is

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