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jee advanced
| 2013
| math
Solutions for all the questions from jee advanced
of year 2013
of subject math
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2013
SUBJECT
math
CHAPTER
application of derivatives
application of integrals
binomial theorem
circles
complex numbers
definite integral
differential equations
ellipse
matrices
parabola
View All ↓
class 12
Math
Algebra
Vector Algebra
Let
$PR=3i^+j^ −2k^andSQ=i^−3j^ −4k^$
determine diagonals of a parallelogram
$PQRS,andPT=i^+2j^ +3k^$
be another vector. Then the volume of the parallelepiped determine by the vectors
$PT$
,
$PQ$
and
$PS$
is
$5$
b.
$20$
c.
$10$
d.
$30$
class 12
Math
Calculus
Definite Integral
Let
$f:[21 ,1]→R$
(the set of all real numbers) be a positive, non-constant, and differentiable function such that
$f_{prime}(x)<2f(x)andf(21 )=1$
. Then the value of
$∫_{21}f(x)dx$
lies in the interval (a)
$(2e−1,2e)$
(b)
$(3−1,2e−1)$
(c)
$(2e−1 ,e−1)$
(d)
$(0,2e−1 )$
class 12
Math
Algebra
Matrices
For
$3×3$
matrices
$MandN,$
which of the following statement (s) is (are) NOT correct ?
$N_{T}MN$
is symmetricor skew-symmetric, according as
$m$
is symmetric or skew-symmetric.
$MN−NM$
is skew-symmetric for all symmetric matrices
$MandN˙$
$MN$
is symmetric for all symmetric matrices
$MandN$
$(adjM)(adjN)=adj(MN)$
for all invertible matrices
$MandN˙$
class 12
Math
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 12
Math
Algebra
Probability
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
class 11
Math
Algebra
Binomial Theorem
The coefficients of three consecutive terms of
$(1+x)_{n+5}$
are in the ratio 5:10:14. Then
$n=$
___________.
class 12
Math
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 11
Math
Algebra
Sequences And Series
A pack contains
$n$
cards numbered from 1 to
$n$
. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of het numbers on the removed cards is
$k,$
then
$k−20=$
____________.
class 12
Math
Algebra
Probability
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
class 12
Math
Algebra
Matrices
Let
$ω$
be a complex cube root of unity with
$ω=1andP=[p_{ij}]$
be a
$n×n$
matrix withe
$p_{ij}=ω_{i+j}˙$
Then
$p_{2}=O,whe∩=$
a.
$57$
b.
$55$
c.
$58$
d.
$56$
1
2
3
4
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page
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jee advanced
| 2013
| math
Solutions for all the questions from jee advanced
of year 2013
of subject math
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2013
SUBJECT
math
CHAPTER
application of derivatives
application of integrals
binomial theorem
circles
complex numbers
definite integral
differential equations
ellipse
matrices
parabola
View All ↓
class 12
Math
Algebra
Vector Algebra
Let
$PR=3i^+j^ −2k^andSQ=i^−3j^ −4k^$
determine diagonals of a parallelogram
$PQRS,andPT=i^+2j^ +3k^$
be another vector. Then the volume of the parallelepiped determine by the vectors
$PT$
,
$PQ$
and
$PS$
is
$5$
b.
$20$
c.
$10$
d.
$30$
class 12
Math
Calculus
Definite Integral
Let
$f:[21 ,1]→R$
(the set of all real numbers) be a positive, non-constant, and differentiable function such that
$f_{prime}(x)<2f(x)andf(21 )=1$
. Then the value of
$∫_{21}f(x)dx$
lies in the interval (a)
$(2e−1,2e)$
(b)
$(3−1,2e−1)$
(c)
$(2e−1 ,e−1)$
(d)
$(0,2e−1 )$
class 12
Math
Algebra
Matrices
For
$3×3$
matrices
$MandN,$
which of the following statement (s) is (are) NOT correct ?
$N_{T}MN$
is symmetricor skew-symmetric, according as
$m$
is symmetric or skew-symmetric.
$MN−NM$
is skew-symmetric for all symmetric matrices
$MandN˙$
$MN$
is symmetric for all symmetric matrices
$MandN$
$(adjM)(adjN)=adj(MN)$
for all invertible matrices
$MandN˙$
class 12
Math
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 12
Math
Algebra
Probability
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
class 11
Math
Algebra
Binomial Theorem
The coefficients of three consecutive terms of
$(1+x)_{n+5}$
are in the ratio 5:10:14. Then
$n=$
___________.
class 12
Math
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 11
Math
Algebra
Sequences And Series
A pack contains
$n$
cards numbered from 1 to
$n$
. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of het numbers on the removed cards is
$k,$
then
$k−20=$
____________.
class 12
Math
Algebra
Probability
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
class 12
Math
Algebra
Matrices
Let
$ω$
be a complex cube root of unity with
$ω=1andP=[p_{ij}]$
be a
$n×n$
matrix withe
$p_{ij}=ω_{i+j}˙$
Then
$p_{2}=O,whe∩=$
a.
$57$
b.
$55$
c.
$58$
d.
$56$
1
2
3
4
Previous
page
1 / 1
You're on page
1
Next
page
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