MHT CET 2023 Mathematics question

The differential equation of all parabolas, whose axes are parallel to Y-axis is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

A parabola whose axis is parallel to the -axis has the equation with three arbitrary constants , so the differential equation is of order 3. Differentiate thrice: , , . Hence

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Question ID VK-094759