MHT CET 2025 Mathematics question

The order and degree of differential equation of all tangent lines to the parabola is respectively.

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

Answer: (A)

Solution

For the parabola (that is with ) the tangent with slope is . This family has exactly one arbitrary constant , so the differential equation has order 1. Differentiating, ; eliminating : . The

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Question ID VK-100768