Solutions For All Questions From jee advanced,2013 , math | Filo
DOWNLOAD APP
MICRO CLASS
PDFs
CBSE QUESTION BANK
BLOG
BECOME A TUTOR
HOME
HOME
BECOME A TUTOR
BLOG
CBSE QUESTION BANK
PDFs
MICRO CLASS
DOWNLOAD APP
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 11
Math
Algebra
Complex Numbers
Let w = (
$3 +2ι )$
and
$P={w_{n}:n=1,2,3,…..},$
Further
$H_{1}={z∈C:Re(z)>21 }andH_{2}={z∈c:Re(z)<−21 }$
Where C is set of all complex numbers. If
$z_{1}∈P∩H_{1},z_{2}∈P∩H_{2}$
and O represent the origin, then
$∠Z_{1}OZ_{2}$
=
class 11
Math
Co-ordinate Geometry
Ellipse
A vertical line passing through the point
$(h,0)$
intersects the ellipse
$4x_{2} +3y_{2} =1$
at the points
$P$
and
$Q$
.Let the tangents to the ellipse at P and Q meet at
$R$
. If
$δ(h)$
Area of triangle
$δPQR$
, and
$δ_{1}21 ≤h≤1max δ(h)$
A further
$δ_{2}21 ≤h≤1min δ(h)$
Then
$5 8 δ_{1}−8δ_{2}$
class 12
Math
Calculus
Definite Integral
For
$a∈R$
(the set of all real numbers),
$a=−1),$
$(lim)_{n→∞}((n+1)_{a−1}[(na+1)+(na+2)+……(na+n)]1_{a}+2_{a}++n_{a} =60.1 $
Then
$a=$
(a)
$5$
(b) 7 (c)
$2−15 $
(d)
$2−17 $
class 11
Math
Algebra
Sequences And Series
Let
$S_{n}=k=1∑4n (−1)2k(k+1) k_{2}˙$
Then
$S_{n}$
can take value (s)
$1056$
b.
$1088$
c.
$1120$
d.
$1332$
class 11
Math
Co-ordinate Geometry
Circles
Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length
$27 $
on y-axis is (are)
class 11
Math
Trigonometry
Solution And Properties Of Triangle
In a triangle PQR, P is the largest angle and
$cosP=31 $
. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)
class 11
Math
Co-ordinate Geometry
Circles
Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length
$27 $
on y-axis is (are)
class 11
Math
Co-ordinate Geometry
Parabola
Let PQ be a focal chord of the parabola
$y_{2}=4ax$
The tangents to the parabola at P and Q meet at a point lying on the line
$y=2x+a,a>0$
. Length of chord PQ is
class 12
Math
Calculus
Application Of Derivatives
The function
$f(x)=2∣x∣+∣x+2∣=∣∣x∣2∣−2∣x∣∣$
has a local minimum or a local maximum at
$x=$
$−2$
(b)
$−32 $
(c) 2 (d)
$32 $
class 12
Math
Calculus
Application Of Derivatives
Let
$f[0,1]→R$
(the set of all real numbers be a function.Suppose the function f is twice differentiable,
$f(0)=f(1)=0$
,and satisfies
$f_{′}(x)–2f_{′}(x)+f(x)≤e_{x},x∈[0,1]$
.Which of the following is true for
$0<x<1?$
1
2
3
4
Previous
page
1 / 1
You're on page
1
Next
page
Clear your doubts in 60 seconds.
Download Filo.
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 11
Math
Algebra
Complex Numbers
Let w = (
$3 +2ι )$
and
$P={w_{n}:n=1,2,3,…..},$
Further
$H_{1}={z∈C:Re(z)>21 }andH_{2}={z∈c:Re(z)<−21 }$
Where C is set of all complex numbers. If
$z_{1}∈P∩H_{1},z_{2}∈P∩H_{2}$
and O represent the origin, then
$∠Z_{1}OZ_{2}$
=
class 11
Math
Co-ordinate Geometry
Ellipse
A vertical line passing through the point
$(h,0)$
intersects the ellipse
$4x_{2} +3y_{2} =1$
at the points
$P$
and
$Q$
.Let the tangents to the ellipse at P and Q meet at
$R$
. If
$δ(h)$
Area of triangle
$δPQR$
, and
$δ_{1}21 ≤h≤1max δ(h)$
A further
$δ_{2}21 ≤h≤1min δ(h)$
Then
$5 8 δ_{1}−8δ_{2}$
class 12
Math
Calculus
Definite Integral
For
$a∈R$
(the set of all real numbers),
$a=−1),$
$(lim)_{n→∞}((n+1)_{a−1}[(na+1)+(na+2)+……(na+n)]1_{a}+2_{a}++n_{a} =60.1 $
Then
$a=$
(a)
$5$
(b) 7 (c)
$2−15 $
(d)
$2−17 $
class 11
Math
Algebra
Sequences And Series
Let
$S_{n}=k=1∑4n (−1)2k(k+1) k_{2}˙$
Then
$S_{n}$
can take value (s)
$1056$
b.
$1088$
c.
$1120$
d.
$1332$
class 11
Math
Co-ordinate Geometry
Circles
Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length
$27 $
on y-axis is (are)
class 11
Math
Trigonometry
Solution And Properties Of Triangle
In a triangle PQR, P is the largest angle and
$cosP=31 $
. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)
class 11
Math
Co-ordinate Geometry
Circles
Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length
$27 $
on y-axis is (are)
class 11
Math
Co-ordinate Geometry
Parabola
Let PQ be a focal chord of the parabola
$y_{2}=4ax$
The tangents to the parabola at P and Q meet at a point lying on the line
$y=2x+a,a>0$
. Length of chord PQ is
class 12
Math
Calculus
Application Of Derivatives
The function
$f(x)=2∣x∣+∣x+2∣=∣∣x∣2∣−2∣x∣∣$
has a local minimum or a local maximum at
$x=$
$−2$
(b)
$−32 $
(c) 2 (d)
$32 $
class 12
Math
Calculus
Application Of Derivatives
Let
$f[0,1]→R$
(the set of all real numbers be a function.Suppose the function f is twice differentiable,
$f(0)=f(1)=0$
,and satisfies
$f_{′}(x)–2f_{′}(x)+f(x)≤e_{x},x∈[0,1]$
.Which of the following is true for
$0<x<1?$
1
2
3
4
Previous
page
1 / 1
You're on page
1
Next
page
NEET (2013-2020)
Board Examination (2010-2020)
IIT JEE (2006-2012)
IIT JEE 2006
IIT JEE 2007
IIT JEE 2008
IIT JEE 2009
IIT JEE 2010
IIT JEE 2011
IIT JEE 2012
JEE Main (2013-2016)
JEE Main 2013
JEE Main 2014
JEE Main 2015
JEE Main 2016
JEE Main 2017
JEE Main 2018
JEE Main 2019
JEE Advanced (2007-2019)
JEE Advanced 2007
JEE Advanced 2008
JEE Advanced 2009
JEE Advanced 2010
JEE Advanced 2011
JEE Advanced 2012
JEE Advanced 2013
JEE Advanced 2014
JEE Advanced 2015
JEE Advanced 2016
JEE Advanced 2017
JEE Advanced 2018
JEE Advanced 2019
CLASS 6
CLASS 6 SCIENCE
CLASS 7
CLASS 7 SCIENCE
CLASS 8
CLASS 8 SCIENCE
CLASS 9
CLASS 9 MATHS
CLASS 9 PHYSICS
CLASS 9 SCIENCE
CLASS 10
CLASS 10 PHYSICS
CLASS 10 SCIENCE
CLASS 11
CLASS 11 PHYSICS
CLASS 11 CHEMISTRY
CLASS 11 SCIENCE
CLASS 11 BIOLOGY
CLASS 11 MATHS
CLASS 12
CLASS 12 BIOLOGY
CLASS 12 PHYSICS
CLASS 12 CHEMISTRY
CLASS 12 MATHS
Home
Blog
Crash Course
Micro Class
PDFs
Become a Tutor
Download App
CBSE Question Bank
About Us
Contact Us
Notifications Troubleshooting
Privacy Policy
Terms and Conditions
Copyright FILO EDTECH PVT. LTD. 2021