Home Maths Differential Equations MHT CET Previous Year Question The order of the differential equation of al…
Maths Differential Equations MHT CET Previous Year Question Single Correct MCQ
Published on: August 14, 2026

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

A
one
B
four
C
three
D
two

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Text Solution

Verified by Experts
The correct answer is:
D

: Equation of the family of such parabolas is

where and are arbitrary constants.

On differentiating (i) w.r.t. , we get

On differentiating (ii) w.r.t. , we get

On putting value of from (ii) in (iii), we get

Hence the order of required differential equation is 2 .

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