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iit jee
| 2010
Solutions for all the questions from iit jee
of year 2010
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2010
SUBJECT
math
30
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15
^{th}
June 2021
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class 12
JEE Main
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of
$30_{∘}$
with each other. When suspended in a liquid of density 0.8 g
$cm_{−3}$
, the angle remains the same. If density of the material of the sphere is 16 g
$cm_{−3}$
, the dielectric constant of the liquid is
class 12
JEE Main
Two conductors have the same resistance at
$0_{∘}C$
but their temperature coefficients of resistance are \displaystyle\alpha_{}
class 12
JEE Main
Let there be a spherically symmetric charge distribution with charge density varying as
$ρ(r)=ρ_{0}(45 −Rr )$
upto
$r=R$
, and
$ρ(r)=0$
for
$r>R$
, where r is the distance from the origin. The electric field at a distance
$r(r<R)$
from the origin is given by
class 12
Math
Calculus
Application Of Derivatives
Let
$f,g$
and
$h$
be real-valued functions defined on the interval
$[0,1]$
by
$f(x)=e_{x_{2}}+e_{−x_{2}}$
,
$g(x)=xe_{x_{2}}+e_{−x_{2}}$
and
$h(x)=x_{2}e_{x_{2}}+e_{−x_{2}}$
. if
$a,b$
and
$c$
denote respectively, the absolute maximum of
$f,g$
and
$h$
on
$[0,1]$
then
class 12
Math
3D Geometry
Three Dimensional Geometry
Equation of the plane containing the straight line
$2x =3y =4z $
and perpendicular to the plane containing the straight lines
$2x =4y =2z $
and
$4x =2y =3z $
is
class 11
Math
Co-ordinate Geometry
Hyperbola
The circle \displaystyle{x}^{{2}}+{y}^{{2}}−{8}{x}={0} and hyperbola \displaystyle\frac{{x}^{{2}}}{{9}}−\frac{{y}^{{2}}}{{4}}={1} intersect at points A and B. Then Equation of the circle with A B as its diameter is
class 12
Math
Algebra
Matrices
Let p be an odd prime number and
$T_{p}$
, be the following set of
$2×2$
matrices
$T_{p}={A=[ac ba ]:a,b,c∈{0,1,2,………p−1}}$
The number of A in
$T_{p}$
, such that A is either symmetric or skew-symmetric or both, and det (A) divisible by p is
class 11
Math
Algebra
Quadratic Equations
Let
$pandq$
be real numbers such that
$p=0,p_{3}=q,andp_{3}=−q˙$
If
$αandβ$
are nonzero complex numbers satisfying
$α+β=−pandα_{2}+β_{2}=q$
, then a quadratic equation having
$α/βandβ/α$
as its roots is A.
$(p_{3}+q)x_{2}−(p_{3}+2q)x+(p_{3}+q)=0$
B.
$(p_{3}+q)x_{2}−(p_{3}−2q)x+(p_{3}+q)=0$
C.
$(p_{3}+q)x_{2}−(5p_{3}−2q)x+(p_{3}−q)=0$
D.
$(p_{3}+q)x_{2}−(5p_{3}+2q)x+(p_{3}+q)=0$
class 12
Math
Calculus
Definite Integral
The value of
$∫_{0}1+x_{2}x_{4}(1−x)_{4} dx$
is/are(a)
$722 −π$
(b)
$1052 $
(c)
$0$
(d)
$1571 −23π $
class 12
Math
Calculus
Differential Equations
Let
$f$
be a real-valued differentiable function on
$R$
(the set of all real numbers) such that
$f(1)=1.$
If the
$y−∈tercept$
of the tangent at any point
$P(x,y)$
on the curve
$y=f(x)$
is equal to the cube of the abscissa of
$P,$
then the value of
$f(−3)$
is equal to________
1
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10
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iit jee
| 2010
Solutions for all the questions from iit jee
of year 2010
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2010
SUBJECT
math
class 12
JEE Main
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of
$30_{∘}$
with each other. When suspended in a liquid of density 0.8 g
$cm_{−3}$
, the angle remains the same. If density of the material of the sphere is 16 g
$cm_{−3}$
, the dielectric constant of the liquid is
class 12
JEE Main
Two conductors have the same resistance at
$0_{∘}C$
but their temperature coefficients of resistance are \displaystyle\alpha_{}
class 12
JEE Main
Let there be a spherically symmetric charge distribution with charge density varying as
$ρ(r)=ρ_{0}(45 −Rr )$
upto
$r=R$
, and
$ρ(r)=0$
for
$r>R$
, where r is the distance from the origin. The electric field at a distance
$r(r<R)$
from the origin is given by
class 12
Math
Calculus
Application Of Derivatives
Let
$f,g$
and
$h$
be real-valued functions defined on the interval
$[0,1]$
by
$f(x)=e_{x_{2}}+e_{−x_{2}}$
,
$g(x)=xe_{x_{2}}+e_{−x_{2}}$
and
$h(x)=x_{2}e_{x_{2}}+e_{−x_{2}}$
. if
$a,b$
and
$c$
denote respectively, the absolute maximum of
$f,g$
and
$h$
on
$[0,1]$
then
class 12
Math
3D Geometry
Three Dimensional Geometry
Equation of the plane containing the straight line
$2x =3y =4z $
and perpendicular to the plane containing the straight lines
$2x =4y =2z $
and
$4x =2y =3z $
is
class 11
Math
Co-ordinate Geometry
Hyperbola
The circle \displaystyle{x}^{{2}}+{y}^{{2}}−{8}{x}={0} and hyperbola \displaystyle\frac{{x}^{{2}}}{{9}}−\frac{{y}^{{2}}}{{4}}={1} intersect at points A and B. Then Equation of the circle with A B as its diameter is
class 12
Math
Algebra
Matrices
Let p be an odd prime number and
$T_{p}$
, be the following set of
$2×2$
matrices
$T_{p}={A=[ac ba ]:a,b,c∈{0,1,2,………p−1}}$
The number of A in
$T_{p}$
, such that A is either symmetric or skew-symmetric or both, and det (A) divisible by p is
class 11
Math
Algebra
Quadratic Equations
Let
$pandq$
be real numbers such that
$p=0,p_{3}=q,andp_{3}=−q˙$
If
$αandβ$
are nonzero complex numbers satisfying
$α+β=−pandα_{2}+β_{2}=q$
, then a quadratic equation having
$α/βandβ/α$
as its roots is A.
$(p_{3}+q)x_{2}−(p_{3}+2q)x+(p_{3}+q)=0$
B.
$(p_{3}+q)x_{2}−(p_{3}−2q)x+(p_{3}+q)=0$
C.
$(p_{3}+q)x_{2}−(5p_{3}−2q)x+(p_{3}−q)=0$
D.
$(p_{3}+q)x_{2}−(5p_{3}+2q)x+(p_{3}+q)=0$
class 12
Math
Calculus
Definite Integral
The value of
$∫_{0}1+x_{2}x_{4}(1−x)_{4} dx$
is/are(a)
$722 −π$
(b)
$1052 $
(c)
$0$
(d)
$1571 −23π $
class 12
Math
Calculus
Differential Equations
Let
$f$
be a real-valued differentiable function on
$R$
(the set of all real numbers) such that
$f(1)=1.$
If the
$y−∈tercept$
of the tangent at any point
$P(x,y)$
on the curve
$y=f(x)$
is equal to the cube of the abscissa of
$P,$
then the value of
$f(−3)$
is equal to________
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 2
You're on page
1
page
2
Next
page
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