MHT CET 2025 Mathematics question

The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y-axis is

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

Answer: (A)

Solution

A parabola with vertex at the origin and axis along the positive Y-axis is with the single arbitrary constant. Differentiate with respect to : , so . Substitute in the original:

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Question ID VK-103029