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Formation of a Differential Equation from a General Solution

The order of ...

Question

The order of differential equation of all parabola's having directrix parallel to $x$ -axis is:

A

4

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B

2

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C

3

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D

1

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Solution

The correct option is C 3
Given, the parabola is $(x - h)^{2} = 4 a (y - k)$
Since, there are 3 unknown constants.
Therefore, order of differential equation will be 3

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