Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The order of the differential equation of all parabolas, whose latus rectum is
and axis parallel to the
-axis, is
Text Solution
Verified by ExpertsThe 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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