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
>>
JEEMAIN and AIPMT
>>
Mathematics
>>
Class12
>>
Differential Equations
0
votes
General solution of following differential $\in a ^n$ differential equations of a family of circles passing through the origin and having centre on the x axis
$(a)\;x^2-y^2+2xy \frac{dy}{dx}=0 \\ (b)\;x^2-y^2+2xy \frac{dx}{dy}=0 \\ (c)\;x^2+y^2+2xy \frac{dy}{dx}=0 \\ (d)\;x^2+y^2-2xy \frac{dy}{dx} =0 $
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q25
easy
Share
asked
Feb 3, 2014
by
meena.p
retagged
Oct 24, 2014
by
sharmaaparna1
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
Let r be radius
centre (r,0)
$(x-r)^2+y^2 =r^2$
$x^2+y^2-2rx +r^2=r^2$
$x^2+y^2-2rx=0$
$2x +2y \large\frac{dy}{dx}$$-2r=0$
$x+ y \large\frac{dy}{dx}$$=r$
$x^2+y^2-2x \bigg(x +y \large\frac{dy}{dx}\bigg)$$=0$
$x^2+y^2-2x^2-2xy \large\frac{dy}{dx}$$=0$
$y^2-x^2=2xy \large\frac{dy}{dz}$
Hence d is the correct answer.
answered
Feb 3, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
Find nature of curve not passing through origin for which tangent at any point P. on curve is equal to radius vector of point P.
asked
Feb 7, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q83
difficult
0
votes
1
answer
General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$
asked
Feb 4, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q39
easy
0
votes
1
answer
The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$
asked
Feb 4, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q41
easy
0
votes
1
answer
Solution of differential equation $\large\frac{dy}{dx} +\frac{y}{x}$$=x^3 y^5$ is which of the following?
asked
Feb 5, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q50
medium
0
votes
1
answer
Solution of differential equation : $y(2xy+e^x)dx=e^xdy$
asked
Feb 4, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q35
medium
0
votes
1
answer
Which one of the following curves represents the solution of the initial value problem $y= D(e^x-1)$ where $D= \large\frac{dy}{dx}$ and $y(0)=50$
asked
Feb 5, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q46
difficult
0
votes
1
answer
The general solution of the differential equation $\large\frac{dy}{dx}=\frac{-y}{x}$ is a family of curves which looks most like which of the following
asked
Feb 5, 2014
by
meena.p
jeemain
math
class12
ch9
differential-equations
ordinary-differential-equations
q45
difficult
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
...