Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class12
>>
Differential Equations
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.
$(a)\;x^2-y^2=c \\ (b)\;y^2+9x^2+6=c \\ (c)\;x^2+3xy^2-y=c \\ (d)\;x^2+3y^2=c $
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q83
difficult
Share
asked
Feb 7, 2014
by
meena.p
retagged
Oct 26, 2014
by
sharmaaparna1
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Equation of normal at P
$Y-y=-\large\frac{-1}{m}$$(X-x)$
=> $ X+mY=x +my$
$PN=\sqrt {m^2y^2+y^2}$
$OP= PN$
$x^2+y^2=m^2y^2+y^2$
$x^2 =m^2y^2$
$\large\frac{dy}{dx}$$=m =\pm \large\frac{x}{y}$
=> $ \int y dy =\pm \int x dy$
$x^2+y^2=c$ (circle)
or $x^2-y^2=c$
Hence a is the correct answer.
answered
Feb 7, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Related questions
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
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q25
easy
asked
Feb 3, 2014
by
meena.p
1
answer
A tank contains $200\; gal$ of water of $40\; lb$ salt dissolves. $5\; gal$ of brine , each containing $2\; lb$ of dissolved salt, run into tank per minute and mixture kept uniform by stirring runs out at same rate. Find amount of salt $y(t)$ in tank at any time $(t)$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q97
difficult
asked
Feb 7, 2014
by
meena.p
1
answer
Find the curve $y= f(x) $ through the origin for which $y''=y'$ and tangent at origin is $y=x$
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q61
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
A drop of liquid evaporates at a rate proportional to its area of surface. If the radius initially is $4\;mm$ and $5$ minutes later, the radius is reduced to $2\; mm$, find radius of drop as a function of time ?
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q57
medium
asked
Feb 6, 2014
by
meena.p
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 $y(0)=50$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q46
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
Find the solution : $-x dy +(y+\sqrt {xy})dx=0$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q65
difficult
asked
Feb 6, 2014
by
meena.p
1
answer
Given $y(0) =2000$ and $\large\frac{dy}{dx} =3200-20y^2$ then find the value of $\lim _{x \to \infty} y(n)$
jeemain
math
class12
ch9
differential-equations
formation-of-differential-equations
q16
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...
close