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jee advanced
Solutions for all the questions from jee advanced
EXAM
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class 12
Math
Calculus
Determinants
Let
$MandN$
be two
$3×3$
matrices such that
$MN=NM˙$
Further, if
$M=N_{2}andM_{2}=N_{4},$
then Determinant of
$(M_{2}+MN_{2})$
is 0 There is a
$3×3$
non-zeero matrix
$U$
such tht
$(M_{2}+MN_{2})U$
is the zero matrix Determinant of
$(M_{2}+MN_{2})≥1$
For a
$3×3$
matrix
$U,if(M_{2}+MN_{2})U$
equal the zero mattix then
$U$
is the zero matrix
class 12
Math
3D Geometry
Three Dimensional Geometry
From a point
$P(λ,λ,λ)$
, perpendicular PQ and PR are drawn respectively on the lines
$y=x,z=1$
and
$y=−x,z=−1$
.If P is such that
$∠QPR$
is a right angle, then the possible value(s) of
$λ$
is/(are)
class 11
Math
Algebra
Quadratic Equations
The quadratic equation
$p(x)=0$
with real coefficients has purely imaginary roots. Then the equation
$p(p(x))=0$
has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots
class 12
Math
Calculus
Definite Integral
The following integral
$∫_{4π}(2cosecx)_{17}dx$
is equal to
$(a)∫_{0}2(e_{u}+e_{−u})_{16}du$
$(b)∫_{0}2(e_{u}+e_{−u})_{17}du$
$(c)∫_{0}2(e_{u}−e_{−u})_{17}du$
$(d)∫_{0}2(e_{u}−e_{−u})_{16}du$
class 12
Math
Calculus
Application Of Derivatives
Late
$a∈R$
and let
$f:R$
be given by
$f(x)=x_{5}−5x+a,$
then
$f(x)$
has three real roots if
$a>4$
$f(x)$
has only one real roots if
$a>4$
$f(x)$
has three real roots if
$a<−4$
$f(x)$
has three real roots if
$−4<a<4$
class 12
Math
Calculus
Application Of Integrals
For a point
$P$
in the plane, let
$d_{1}(P)andd_{2}(P)$
be the distances of the point
$P$
from the lines
$x−y=0andx+y=0$
respectively. The area of the region
$R$
consisting of all points
$P$
lying in the first quadrant of the plane and satisfying
$2≤d_{1}(P)+d_{2}(P)≤4,$
is
class 11
Math
Algebra
Sequences And Series
Let a,b ,c be positive integers such that
$ab $
is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of
$a+1a_{2}+a−14 $
is
class 12
Math
Calculus
Continuity And Differentiability
Let
$f:R→Randg:R→R$
be respectively given by
$f(x)=∣x∣+1andg(x)=x_{2}+1$
. Define
$h:R→R$
by
$h(x)={max{f(x),g(x)},ifx≤0andmin{f(x),g(x)},ifx>0$
.The number of points at which
$h(x)$
is not differentiable is
class 11
Math
All topics
Trigonometric Equation
For
$x∈(0,π),$
the equation
$sinx+2$
sin
$x−sin3x=3$
has (A)infinitely many solutions (B)three solutions (C)one solution (D)no solution
class 12
Math
Algebra
Vector Algebra
Let
$a,b,andc$
be three non coplanar unit vectors such that the angle between every pair of them is
$3π $
. If
$a×b+b×x=pa+qb+rc$
where p,q,r are scalars then the value of
$q_{2}p_{2}+2q_{2}+r_{2} $
is
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jee advanced
Solutions for all the questions from jee advanced
30
JEE MAINS
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●LIVE
Classes starting
15
^{th}
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30 Students | 90 Days | 24x7 Video Doubt Support
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₹8000
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30
JEE MAINS
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●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
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EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
class 12
Math
Calculus
Determinants
Let
$MandN$
be two
$3×3$
matrices such that
$MN=NM˙$
Further, if
$M=N_{2}andM_{2}=N_{4},$
then Determinant of
$(M_{2}+MN_{2})$
is 0 There is a
$3×3$
non-zeero matrix
$U$
such tht
$(M_{2}+MN_{2})U$
is the zero matrix Determinant of
$(M_{2}+MN_{2})≥1$
For a
$3×3$
matrix
$U,if(M_{2}+MN_{2})U$
equal the zero mattix then
$U$
is the zero matrix
class 12
Math
3D Geometry
Three Dimensional Geometry
From a point
$P(λ,λ,λ)$
, perpendicular PQ and PR are drawn respectively on the lines
$y=x,z=1$
and
$y=−x,z=−1$
.If P is such that
$∠QPR$
is a right angle, then the possible value(s) of
$λ$
is/(are)
class 11
Math
Algebra
Quadratic Equations
The quadratic equation
$p(x)=0$
with real coefficients has purely imaginary roots. Then the equation
$p(p(x))=0$
has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots
class 12
Math
Calculus
Definite Integral
The following integral
$∫_{4π}(2cosecx)_{17}dx$
is equal to
$(a)∫_{0}2(e_{u}+e_{−u})_{16}du$
$(b)∫_{0}2(e_{u}+e_{−u})_{17}du$
$(c)∫_{0}2(e_{u}−e_{−u})_{17}du$
$(d)∫_{0}2(e_{u}−e_{−u})_{16}du$
class 12
Math
Calculus
Application Of Derivatives
Late
$a∈R$
and let
$f:R$
be given by
$f(x)=x_{5}−5x+a,$
then
$f(x)$
has three real roots if
$a>4$
$f(x)$
has only one real roots if
$a>4$
$f(x)$
has three real roots if
$a<−4$
$f(x)$
has three real roots if
$−4<a<4$
class 12
Math
Calculus
Application Of Integrals
For a point
$P$
in the plane, let
$d_{1}(P)andd_{2}(P)$
be the distances of the point
$P$
from the lines
$x−y=0andx+y=0$
respectively. The area of the region
$R$
consisting of all points
$P$
lying in the first quadrant of the plane and satisfying
$2≤d_{1}(P)+d_{2}(P)≤4,$
is
class 11
Math
Algebra
Sequences And Series
Let a,b ,c be positive integers such that
$ab $
is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of
$a+1a_{2}+a−14 $
is
class 12
Math
Calculus
Continuity And Differentiability
Let
$f:R→Randg:R→R$
be respectively given by
$f(x)=∣x∣+1andg(x)=x_{2}+1$
. Define
$h:R→R$
by
$h(x)={max{f(x),g(x)},ifx≤0andmin{f(x),g(x)},ifx>0$
.The number of points at which
$h(x)$
is not differentiable is
class 11
Math
All topics
Trigonometric Equation
For
$x∈(0,π),$
the equation
$sinx+2$
sin
$x−sin3x=3$
has (A)infinitely many solutions (B)three solutions (C)one solution (D)no solution
class 12
Math
Algebra
Vector Algebra
Let
$a,b,andc$
be three non coplanar unit vectors such that the angle between every pair of them is
$3π $
. If
$a×b+b×x=pa+qb+rc$
where p,q,r are scalars then the value of
$q_{2}p_{2}+2q_{2}+r_{2} $
is
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 10
You're on page
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page
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