Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, NEET
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
CBSE XII
>>
Math
>>
Model Papers
0
votes
Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y - axis.
cbse
class12
modelpaper
2012
sec-b
q15
easy
math
Share
asked
Feb 4, 2013
by
thanvigandhi_1
retagged
Dec 2, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Toolbox:
Equation of a parabola having vertex at origin at axis along the positive axis is $x^2 = 4ay $
Step 1:
Given: $ x^2 = 4ay$-------(1)
Differentiating on both sides we get,
$2x = 4ay'$
$x = 2ay'$
$a =\large\frac{ x}{2y'}$
Step 2:
Substituting in equ(1) we get
$x^2 = 4. [\large\frac{x}{2y'}] $$.y$
On simplifying and rearranging we get
$xy' -2y = 0$
This is the required equation
answered
Dec 2, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
Form the differential equation of the family of parabolas having vertex at origin at axis along positive y-axis.
asked
Nov 30, 2012
by
sreemathi.v
cbse
class12
bookproblem
ch9
sec3
q7
p391
sec-b
math
0
votes
0
answers
Form a differential equation of the family of ellipse having foci on y - axis and centre at origin.
asked
Feb 4, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q19
math
0
votes
1
answer
Form the differential equation representing the family of ellipses having foci on x - axis and center at the origin.
asked
Feb 9, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q18
easy
math
0
votes
0
answers
Find the differential equation of the family of ellipses having foci on y- axis and centre at the origin.
asked
Jan 24, 2013
by
thanvigandhi_1
cbse
class12
modelpaper
2012
sec-b
q11
math
0
votes
1
answer
Form the differential equation of the family of parabolas with vertex on the x axis with symmetry axis parallel to the axis y positive and the vertex to focus distance equal to P.
asked
Sep 30, 2014
by
hectordavid1995
maths
differential-equations
0
votes
1
answer
Form the differential equation of the family of ellipses having foci on $y$-axis and centre at origin.
asked
Nov 30, 2012
by
sreemathi.v
cbse
class12
bookproblem
ch9
sec3
q8
p391
easy
sec-b
math
0
votes
1
answer
Form the differential equation of the family of hyperbolas having foci on $x$-axis and centre at origin.
asked
Nov 30, 2012
by
sreemathi.v
cbse
class12
bookproblem
ch9
sec3
q9
p391
sec-b
math
Ask Question
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...