Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The differential equation of family of parabola with foci at the origin and axis along the x axes :
A
y 
+ 2x 
– y = 0
+ 2x – y = 0
B
x 
+ 2y 
– y = 0
+ 2y – y = 0
C
y 
+ 2x 
+ y = 0
+ 2x + y = 0
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
parabola
distance form focus = distance from directrix
x 2 + y 2 = (2a + x) 2
y 2 = 4a(a + x) ..........(i)
2y 
= 4a(0 + 1)
a = 
using (i) y 2 = 2y 
y 
+ 2x – y = 0
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The order of the differential equation whose general solution is given by Where are arbitrary con…
The differential equation has the degree
The differential equations of all circles passing through origin and having their centers on the -…
The differential equation for the family of curves where is an arbitrary constant, is Find
The solution of the differential equation is Find
If and then function is Find