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Recent questions in Mathematics
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>>
JEEMAIN and NEET
>>
Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
let a,b,c be non-zero real no such that integral (1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-1=integral(1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-2 . Then the equation ax^2+bx+c=0 has
math-arihant
asked
Apr 13, 2015
by
nimmy1357
0
answers
if p>2 and p belongs to N, then the equation x cube -px+1=0 cannot have
maths-arihant
asked
Apr 13, 2015
by
nimmy1357
1
answer
π
∫
0
(
x
.
s
i
n
x
.
s
i
n
x
.
c
o
s
x
)
d
x
math-arihant
asked
Apr 9, 2015
by
nimmy1357
1
answer
lim
x
→
2
t
a
n
(
x
−
2
)
|
x
2
+
(
k
−
2
)
x
−
x
k
|
(
x
−
2
)
2
=
5
..find k
asked
Mar 30, 2015
by
sachinmalhotra.jan11
1
answer
Ballot Theorum
#iitmains
asked
Mar 24, 2015
by
tsar.ash
1
answer
find area between the graphs log(x) , log(|x|) , |log(|x|)|
asked
Dec 12, 2014
by
vishavjeetmor
0
answers
f(xy)=f(x)+f(y) . Then Prove that f(x) =Klog(x) where k is constant
asked
Dec 12, 2014
by
vishavjeetmor
1
answer
determine whether even or odd : f(x+y)+f(x-y)=2f(x).f(y) ; where f(0) is not zero and x,y belongs to set of Real numbers
asked
Nov 27, 2014
by
harsha.wardan7
1
answer
find solutions of the equation [x][y]=x+y .
math
asked
Nov 23, 2014
by
harsha.wardan7
1
answer
find dy/dx . if y = (x/a+)(x/b+)(x/a+)(x/b+)(...................
asked
Nov 8, 2014
by
vishavjeetmor
1
answer
If a square matrix A is such that
A
A
T
=
I
=
A
T
A
then
|
A
|
is equal to
jeemain
math
class12
ch4
medium
determinants
adjoint-and-inverse
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
A
is square matrix of order
n
×
n
then adj(adj(A)) is equal to
jeemain
math
class12
ch4
determinants
adjoint-and-transpose
medium
asked
Apr 25, 2014
by
sreemathi.v
1
answer
The number of non trivial solutions of the system
x
−
y
+
z
=
0
,
x
+
2
y
−
z
=
0
,
2
x
+
y
+
3
z
=
0
is
jeemain
math
difficult
determinants
ch4
class12
system-of-linear-equations
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
A
,
B
are two square matrices such that
A
B
=
A
and
B
A
=
B
then
A
and
B
are
jeemain
math
class12
ch3
matrices
types-of-matrices
medium
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
A
is orthogonal matrix then
jeemain
math
class12
ch3
matrices
types-of-matrices
medium
asked
Apr 25, 2014
by
sreemathi.v
1
answer
The number of right inverse for the matrix
[
1
−
1
2
2
−
1
1
]
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
a
x
3
+
b
x
2
+
c
x
+
d
=
|
x
2
(
x
−
1
)
2
(
x
−
2
)
(
x
−
)
2
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
2
)
2
(
x
−
3
)
2
(
x
−
4
)
2
|
then
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 25, 2014
by
sreemathi.v
1
answer
The values of
λ
and
μ
for which the equations
x
+
y
+
z
=
3
,
x
+
3
y
+
2
z
=
6
,
x
+
λ
y
+
3
z
=
μ
have
jeemain
math
class12
ch4
determinants
system-of-linear-equations
difficult
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
1
+
sin
x
+
cos
x
≠
0
the value of
x
for which
|
1
sin
x
cos
x
sin
x
1
cos
x
cos
x
sin
x
1
|
=
0
is
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
f
(
x
)
=
|
cos
x
1
0
1
2
cos
x
1
0
1
2
cos
x
|
then
π
2
∫
0
2
f
(
x
)
d
x
is equal to
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 25, 2014
by
sreemathi.v
1
answer
If
A
=
|
a
b
c
x
y
z
p
q
r
|
and
B
=
|
q
−
b
y
−
p
a
−
x
r
−
c
z
|
then
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
If
A
is an invertible matrix and B is a matrix then
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 24, 2014
by
sreemathi.v
1
answer
If
A
is a square matrix of order
n
×
n
then adj.(adj A) is equal to
jeemain
math
class12
ch4
determinants
adjoint-and-inverse
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
|
log
3
512
log
4
3
log
3
8
log
4
9
|
×
|
log
2
3
log
8
3
log
3
4
log
3
4
|
=
jeemain
math
class12
ch3
matrices
operations-on-matrices
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
If
D
r
=
|
2
r
−
1
2.3
r
−
1
4.5
r
−
1
α
β
γ
2
n
−
1
3
n
−
1
5
n
−
1
|
then the value of
n
∑
r
=
1
D
r
is
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
If the system of linear equations :
x
+
2
a
y
+
a
z
=
0
,
x
+
3
b
y
+
b
z
=
0
,
x
+
4
c
y
+
c
z
=
0
has a zero solutions then
a
,
b
,
c
jeemain
math
class12
ch4
determinants
system-of-linear-equations
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
Value of the determinant
|
10
!
11
!
12
!
11
!
12
!
13
!
12
!
13
!
14
!
|
is
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 24, 2014
by
sreemathi.v
1
answer
Let
C
=
[
C
11
C
12
C
21
C
22
]
be a
2
×
2
matrix and there exist
2
×
2
matrices
A
and
B
such that
C
=
A
B
−
B
A
then
jeemain
math
class12
ch3
matrices
operations-on-matrices
medium
asked
Apr 24, 2014
by
sreemathi.v
1
answer
If
a
,
b
,
c
are all different and
|
a
a
3
a
4
−
1
b
b
3
b
4
−
1
c
c
3
c
4
−
1
|
=
0
then the value of
a
b
c
(
a
b
+
b
c
+
c
a
)
is
jeemain
math
class12
ch3
matrices
equality-of-matrices
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
The value of
θ
in the first quadrant satisfying the equation
|
1
+
cos
2
θ
sin
2
θ
4
sin
4
θ
cos
2
θ
1
+
sin
2
θ
4
sin
4
θ
cos
2
θ
sin
2
θ
1
+
4
sin
4
θ
|
=
0
is
jeemain
math
class12
ch3
matrices-and-determinants
equality-of-matrices
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
C
=
2
cos
θ
then the value of the determinant
4
Δ
=
|
c
1
0
1
c
1
0
1
c
|
is
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
A
=
[
1
2
3
−
5
]
then
A
−
1
=
jeemain
math
class12
ch4
determinants
adjoint-and-inverse
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
x
a
y
b
=
e
m
,
x
c
y
d
=
e
n
Δ
1
=
|
m
b
n
d
|
,
Δ
2
=
|
a
m
c
n
|
,
Δ
3
=
|
a
b
c
d
|
then the values of
x
and
y
are respectively
jeemain
math
class12
ch4
determinants
system-of-linear-equations
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
a
=
1
+
2
+
4
+
.
.
.
.
.
.
.
.
.
upto n terms,
b
=
1
+
3
+
9
+
.
.
.
.
.
upto n terms,
c
=
1
+
5
+
25
+
.
.
.
.
.
upto n terms then
|
a
2
b
4
c
2
2
2
2
n
3
n
5
n
|
=
jeemain
math
class12
ch3
matrices
operations-on-matrices
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
The value of
|
a
a
+
b
a
+
2
b
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
|
is equal to
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If 5 is one root of the equation
|
x
3
7
2
x
−
2
7
8
x
|
=
0
then the other two roots of the equation are
jeemain
math
class12
ch4
determinants
evaluate-determinants
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
f
(
x
)
=
|
sin
x
cos
x
tan
x
x
3
x
2
x
2
x
1
1
|
then
lim
x
→
0
f
(
x
)
x
2
is
jeemain
math
class12
ch3
matrices
evaluate-determinants
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
The number of solutions of the system of equations
2
x
+
y
−
z
=
7
,
x
−
3
y
+
2
z
=
1
,
x
+
4
y
−
3
z
=
5
is
jeemain
math
class12
ch4
determinants
system-of-linear-equations
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
p
≠
a
,
q
≠
b
,
r
≠
c
and
|
p
b
c
p
+
a
q
+
b
2
c
a
b
r
|
=
0
then
p
p
−
a
+
q
q
−
b
+
r
r
−
c
=
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
A
=
[
0
2
3
−
4
]
and
k
A
=
[
0
3
a
2
b
24
]
then the values of
k
,
a
,
b
are respectively
jeemain
math
class12
ch3
matrices
operations-on-matrices
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
ω
is cube root of unity then
Δ
=
|
x
+
1
ω
ω
2
ω
x
+
ω
2
1
ω
2
1
x
+
ω
2
|
=
jeemain
math
class12
ch4
determinants
properties-of-determinants
evaluate-determinants
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
A
=
[
2
0
0
0
2
0
0
0
2
]
then
A
5
=
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
|
x
+
α
β
γ
α
x
+
β
γ
α
β
x
+
γ
|
=
0
then
4
x
is equal to
jeemain
math
class12
ch3
matrices
elementary-operation-(transformation)-of-a-matrix
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
A
=
[
1
tan
θ
2
−
tan
θ
2
1
]
and
A
B
=
I
then
B
=
jeemain
math
class12
ch4
determinants
adjoint-and-inverse
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
The value of a for which the system of equations
a
3
x
+
(
a
+
1
)
3
y
+
(
a
+
2
)
3
z
=
0
,
a
x
+
(
a
+
1
)
y
+
(
a
+
2
)
z
=
0
,
x
+
y
+
z
=
0
has a non-zero solution is
jeemain
math
class12
ch4
determinants
system-of-linear-equations
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If
A
and
B
are two matrices such that
A
B
=
B
and
B
A
=
A
then
A
2
+
B
2
=
jeemain
math
class12
ch3
matrices
invertible-matrices
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
For each real numbers
x
such that
−
1
<
x
<
1
let
A
(
x
)
be the matrix.
(
1
−
x
)
−
1
2
[
1
−
x
−
x
1
]
and
z
=
x
+
y
1
+
x
y
.Then
jeemain
math
class12
ch3
matrices
operations-on-matrices
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
If A is singular matrix then adj.A is
jeemain
math
class12
ch4
determinants
adjoint-and-inverse
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
Suppose
D
=
|
a
1
b
1
c
1
a
2
b
2
c
2
a
3
b
3
c
3
|
and
D
′
=
|
a
1
+
p
b
1
b
1
+
q
c
1
c
1
+
r
a
1
a
2
+
p
b
2
b
2
+
q
c
2
c
2
+
r
a
2
a
3
+
p
b
3
b
3
+
q
c
3
c
3
+
r
a
3
|
then
jeemain
math
class12
ch4
determinants
evaluate-determinants
difficult
asked
Apr 23, 2014
by
sreemathi.v
1
answer
From the matrix equation
A
B
=
A
C
we can conclude
B
=
C
provided.
jeemain
math
class12
ch4
determinants
adjoint-and-inverse
medium
asked
Apr 23, 2014
by
sreemathi.v
1
answer
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