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iit jee
| 2011
Solutions for all the questions from iit jee
of year 2011
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2011
SUBJECT
math
30
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class 11
Math
Algebra
Sequences And Series
The minimum value of the sum of real number
$a_{−5},a_{−4},3a_{−3},1,a_{8}$
and
$a_{10}$
with
$a>0$
is
class 12
Math
Algebra
Matrices
Let
$a,b$
and
$c$
be three real numbers satisfying
$[abc]⎣⎢⎡ 187 923 777 ⎦⎥⎤ =[000]……..(E)$
If the point
$P(a,b,c),$
with reference to
$(E)$
, lies on the plane
$2x+y+z=1,$
then the value of
$7a+b+c$
is
class 12
Math
Calculus
Differential Equations
Let
$f:[1,∞]$
be a differentiable function such that
$f(1)=2.$
If
$6∫_{1}f(t)dt=3xf(x)−x_{3}$
for all
$x≥1,$
then the value of
$f(2)$
is
class 12
Math
Algebra
Matrices
Let
$MandN$
be two
$3×3$
non singular skew-symmetric matrices such that
$MN=NM˙$
If
$P_{T}$
denote the transpose of
$P,$
then
$M_{2}N_{2}(M_{T}N)_{−1}(MN_{−1})_{T}$
is equal to
$M_{2}$
b.
$−N_{2}$
c.
$−M_{2}$
d.
$MN$
class 11
Math
Algebra
Sets
Q. Let
$P={θ:sinθ−cosθ=2 cosθ}$
and
$Q={θ:sinθ+cosθ=2 sinθ}$
be two sets. then
class 12
Math
Algebra
Probability
Let
$U_{1}$
and
$U_{2}$
be two urns such that
$U_{1}$
contains 3 white and 2 red balls, and
$U_{2}$
contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from
$U_{1}$
and put into
$U_{2}$
. However, if tail appears then 2 balls are drawn from
$U_{1}$
and put into
$U_{2}$
. Now, 1 ball is drawn at random from
$U_{2}$
Given that the drawn ball from
$U_{2}$
is white, the probability that head appeared on the coin is
class 12
Math
Algebra
Vector Algebra
The vector(s) which is/are coplanar with vectors
$i^+j^ +2k^andi^+2j^ +k^,$
and perpendicular to vector
$i^+j^ +k^,$
is/are a.
$j^ −k^$
b.
$−i^+j^ $
c.
$i^−j^ $
d.
$−j^ +k^$
class 12
Math
Calculus
Application Of Derivatives
The number of distinct real roots of
$x_{4}−4x_{3}+12x_{2}+x−1=0$
is :
class 12
Math
Calculus
Application Of Derivatives
If
$f(x)=x_{23}(3x−10),x≥0,$
then
$f(x)$
is increasing in ____.
class 11
Math
Co-ordinate Geometry
Hyperbola
Let P(6,3) be a point on the hyperbola parabola
$a_{2}x_{2} −b_{2}y_{2} =1$
If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is
1
2
3
4
5
6
7
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iit jee
| 2011
Solutions for all the questions from iit jee
of year 2011
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
2011
SUBJECT
math
class 11
Math
Algebra
Sequences And Series
The minimum value of the sum of real number
$a_{−5},a_{−4},3a_{−3},1,a_{8}$
and
$a_{10}$
with
$a>0$
is
class 12
Math
Algebra
Matrices
Let
$a,b$
and
$c$
be three real numbers satisfying
$[abc]⎣⎢⎡ 187 923 777 ⎦⎥⎤ =[000]……..(E)$
If the point
$P(a,b,c),$
with reference to
$(E)$
, lies on the plane
$2x+y+z=1,$
then the value of
$7a+b+c$
is
class 12
Math
Calculus
Differential Equations
Let
$f:[1,∞]$
be a differentiable function such that
$f(1)=2.$
If
$6∫_{1}f(t)dt=3xf(x)−x_{3}$
for all
$x≥1,$
then the value of
$f(2)$
is
class 12
Math
Algebra
Matrices
Let
$MandN$
be two
$3×3$
non singular skew-symmetric matrices such that
$MN=NM˙$
If
$P_{T}$
denote the transpose of
$P,$
then
$M_{2}N_{2}(M_{T}N)_{−1}(MN_{−1})_{T}$
is equal to
$M_{2}$
b.
$−N_{2}$
c.
$−M_{2}$
d.
$MN$
class 11
Math
Algebra
Sets
Q. Let
$P={θ:sinθ−cosθ=2 cosθ}$
and
$Q={θ:sinθ+cosθ=2 sinθ}$
be two sets. then
class 12
Math
Algebra
Probability
Let
$U_{1}$
and
$U_{2}$
be two urns such that
$U_{1}$
contains 3 white and 2 red balls, and
$U_{2}$
contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from
$U_{1}$
and put into
$U_{2}$
. However, if tail appears then 2 balls are drawn from
$U_{1}$
and put into
$U_{2}$
. Now, 1 ball is drawn at random from
$U_{2}$
Given that the drawn ball from
$U_{2}$
is white, the probability that head appeared on the coin is
class 12
Math
Algebra
Vector Algebra
The vector(s) which is/are coplanar with vectors
$i^+j^ +2k^andi^+2j^ +k^,$
and perpendicular to vector
$i^+j^ +k^,$
is/are a.
$j^ −k^$
b.
$−i^+j^ $
c.
$i^−j^ $
d.
$−j^ +k^$
class 12
Math
Calculus
Application Of Derivatives
The number of distinct real roots of
$x_{4}−4x_{3}+12x_{2}+x−1=0$
is :
class 12
Math
Calculus
Application Of Derivatives
If
$f(x)=x_{23}(3x−10),x≥0,$
then
$f(x)$
is increasing in ____.
class 11
Math
Co-ordinate Geometry
Hyperbola
Let P(6,3) be a point on the hyperbola parabola
$a_{2}x_{2} −b_{2}y_{2} =1$
If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is
1
2
3
4
5
6
7
Previous
page
1 / 1
You're on page
1
Next
page
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