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Recent questions in Mathematics
Questions
>>
EAMCET
>>
Mathematics
The points in the set
{
z
∈
C
:
A
r
g
(
Z
−
2
Z
−
6
i
)
−
π
2
}
lie on the curve which is (Where C denotes the set of all complex numbers )
jeemain
eamcet
math
2008
q21
asked
Oct 17, 2013
by
meena.p
1
answer
[
a
−
b
−
c
2
a
2
a
2
b
b
−
c
−
a
2
b
2
c
2
c
c
−
a
−
b
]
jeemain
eamcet
math
2008
q20
asked
Oct 17, 2013
by
meena.p
1
answer
The inverse of the matrix
[
7
−
3
−
3
−
1
1
0
−
1
0
1
]
is :
jeemain
eamcet
math
2008
q19
asked
Oct 17, 2013
by
meena.p
1
answer
If
A
=
[
1
−
2
4
5
]
and
f
(
t
)
=
t
2
−
3
t
+
7
, then
f
(
A
)
+
[
3
6
12
−
9
]
=
jeemain
eamcet
math
2008
q18
asked
Oct 17, 2013
by
meena.p
0
answers
The sum of the fourth powers of the of the equation
x
3
+
x
+
1
=
0
is
jeemain
eamcet
math
2008
q17
asked
Oct 17, 2013
by
meena.p
1
answer
The cubic equation whose roots are thrice to each of the roots of
x
3
+
2
x
2
−
4
x
+
1
=
0
is
jeemain
eamcet
math
2008
q16
asked
Oct 16, 2013
by
meena.p
1
answer
If
α
+
β
=
−
2
and
α
3
+
β
3
=
−
56
, then the quadratic equation whose roots are
α
and
β
is
jeemain
eamcet
math
2008
q15
asked
Oct 16, 2013
by
meena.p
1
answer
Let
α
and
β
be the roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
. Observe the lists given below:
jeemain
eamcet
math
2008
q14
asked
Oct 16, 2013
by
meena.p
1
answer
1
1.3
+
1
2.5
+
1
3.7
+
1
4.9
+
.
.
.
.
=
jeemain
eamcet
math
2008
q13
asked
Oct 16, 2013
by
meena.p
1
answer
∞
∑
k
=
1
1
k
!
(
k
∑
n
=
1
2
n
−
1
)
=
jeemain
eamcet
math
2008
q12
asked
Oct 16, 2013
by
meena.p
1
answer
If
x
2
+
x
+
1
x
2
+
2
x
+
1
=
A
+
B
x
+
1
+
C
(
x
+
1
)
2
then
A
−
B
=
jeemain
eamcet
math
2008
q11
asked
Oct 16, 2013
by
meena.p
1
answer
If
α
=
5
2
!
3
+
5.7
3
!
3
2
+
5.7.9
4
!
3
3
+
.
.
.
.
.
.
.
.
,
then
α
2
+
4
α
=
jeemain
eamcet
math
2008
q10
asked
Oct 16, 2013
by
meena.p
1
answer
If
(
1
+
x
+
x
2
+
x
3
)
5
=
15
∑
k
=
0
a
k
x
k
then
7
∑
k
=
0
a
2
k
=
jeemain
eamcet
math
2008
q9
asked
Oct 16, 2013
by
meena.p
1
answer
If
n
P
r
=
30240
and
n
C
r
=
252
then the ordered pair (n,r)=
jeemain
eamcet
math
2008
q8
asked
Oct 16, 2013
by
meena.p
1
answer
9 balls are to be placed in 9 boxes; and 5 of the balls cannot fill into 3 small boxes. The number of ways of arranging one ball in each of the boxes is
jeemain
eamcet
math
2008
q7
asked
Oct 16, 2013
by
meena.p
0
answers
For any integer
n
≤
1
, the sum
n
∑
k
=
1
.
k
(
k
+
2
)
is equal to
jeemain
eamcet
math
2008
q6
asked
Oct 16, 2013
by
meena.p
1
answer
If
x
=
1
2
(
√
7
+
1
√
7
)
then
√
x
2
−
1
x
−
√
x
2
−
1
=
jeemain
eamcet
math
2008
q5
asked
Oct 16, 2013
by
meena.p
0
answers
Given that
a
,
b
∈
{
0
,
1
,
2
,
.
.
.
.
.
.
.
.
.
,
9
}
with
a
+
b
≠
0
and that
(
a
,
b
10
)
x
=
(
a
10
,
b
100
)
y
−
1000
Then
1
x
−
1
y
=
jeemain
eamcet
math
2008
q4
asked
Oct 16, 2013
by
meena.p
1
answer
If
f
:
[
−
6
,
6
]
→
ℜ
is defined by
f
(
x
)
=
x
2
−
3
for
x
∈
ℜ
, then
(
f
0
f
0
f
)
(
−
l
)
+
(
f
0
f
0
f
)
(
0
)
+
(
f
0
f
0
f
)
(
l
)
=
jeemain
eamcet
math
2008
q3
asked
Oct 16, 2013
by
meena.p
1
answer
If
f
:
ℜ
→
ℜ
and
g
:
ℜ
→
ℜ
are defined by
f
(
x
)
−
|
x
|
and
g
(
x
)
=
[
x
−
3
]
for
x
∈
ℜ
, then
{
g
(
f
(
x
)
)
:
−
8
5
<
x
<
8
5
}
−
jeemain
eamcet
math
2008
q2
asked
Oct 16, 2013
by
meena.p
1
answer
If
f
:
R
→
C
is defined by
f
(
x
)
=
e
2
i
x
for
x
∈
R
then, f is (Where C denotes the set of all complex numbers)
jeemain
eamcet
math
2008
q1
class12
asked
Oct 16, 2013
by
meena.p
1
answer
The differential equation of the family
y
=
a
e
x
+
b
x
e
x
+
c
x
2
e
x
of curves, where
a
,
b
,
c
are arbitrary constants, is :
jeemain
eamcet
math
2009
q80
asked
Oct 11, 2013
by
meena.p
1
answer
The solution of the differential equation
d
y
d
x
=
sin
(
x
+
y
)
tan
(
x
+
y
)
−
1
is :
jeemain
eamcet
math
2009
q79
asked
Oct 11, 2013
by
meena.p
1
answer
The velocity of a particle which starts from rest is given by the following table :
jeemain
eamcet
math
2009
q78
asked
Oct 10, 2013
by
meena.p
1
answer
The line
x
=
π
4
divides the area of the region bounded by
y
=
sin
x
,
y
=
cos
x
and x-axis
(
0
≤
x
≤
π
2
)
into two regions of areas
A
1
and
A
2
. Then
A
1
:
A
2
=
jeemain
eamcet
math
2009
q77
asked
Oct 10, 2013
by
meena.p
0
answers
π
∫
0
1
1
+
sin
x
d
x
jeemain
eamcet
math
2009
q76
asked
Oct 10, 2013
by
meena.p
1
answer
If
I
n
=
∫
sin
n
x
d
x
, then
n
I
n
−
(
n
−
1
)
I
n
−
2
=
jeemain
eamcet
math
2009
q75
asked
Oct 10, 2013
by
meena.p
1
answer
∫
(
2
−
sin
2
x
1
−
cos
2
x
)
e
x
d
x
=
jeemain
eamcet
math
2009
q74
asked
Oct 10, 2013
by
meena.p
1
answer
∫
d
x
(
x
+
1
)
√
4
x
+
3
=
jeemain
eamcet
math
2009
q73
asked
Oct 10, 2013
by
meena.p
1
answer
z
=
tan
(
y
+
a
x
)
+
√
y
−
a
x
=>
z
x
x
−
a
2
z
y
y
=
jeemain
eamcet
math
2009
q72
asked
Oct 10, 2013
by
meena.p
1
answer
The maximum value of
log
x
x
,
0
<
x
<
∞
is :
jeemain
eamcet
math
2009
q71
asked
Oct 10, 2013
by
meena.p
1
answer
The function
f
(
x
)
=
x
3
+
a
x
2
+
b
x
+
x
,
a
2
≤
3
b
has:
jeemain
eamcet
math
2009
q70
asked
Oct 10, 2013
by
meena.p
1
answer
There is an error of
±
0.04
c
m
in the measurement of the diameter of a sphere. When the radius is
10
c
m
, the percentage error in the volume of the sphere is :
jeemain
eamcet
math
2009
q69
asked
Oct 10, 2013
by
meena.p
1
answer
y
=
e
a
sin
−
1
x
=>
(
1
−
x
2
)
y
n
+
2
−
(
2
n
+
1
)
x
y
n
+
1
=
jeemain
eamcet
math
2009
q68
asked
Oct 10, 2013
by
meena.p
1
answer
d
d
x
[
a
tan
−
1
+
b
log
(
x
−
1
x
+
1
)
]
=
1
x
4
−
1
=>
a
−
2
b
=
jeemain
eamcet
math
2009
q67
asked
Oct 10, 2013
by
meena.p
1
answer
x
=
cos
−
1
(
1
√
1
+
t
2
)
,
y
=
sin
−
1
(
t
√
1
+
t
2
)
=>
d
y
d
x
=
jeemain
eamcet
math
2009
q66
asked
Oct 10, 2013
by
meena.p
1
answer
x
=
1
−
√
y
1
+
√
y
=>
d
y
d
x
=
jeemain
eamcet
math
2009
q65
asked
Oct 10, 2013
by
meena.p
0
answers
If
f
:
R
→
R
is defined by
f
(
x
)
=
{
2
s
i
n
x
−
sin
2
x
2
x
cos
x
,
i
f
x
≠
0
a
,
i
f
x
=
0
then the value of
a
so that f is continuous at 0 is :
jeemain
eamcet
math
2009
q64
asked
Oct 10, 2013
by
meena.p
1
answer
lim
x
→
∞
(
x
+
5
x
+
2
)
x
+
3
=
jeemain
eamcet
math
2009
q63
asked
Oct 10, 2013
by
meena.p
1
answer
The radius of the sphere
x
2
+
y
2
+
z
2
=
12
x
+
4
y
+
3
z
is :
jeemain
eamcet
math
2009
q62
asked
Oct 10, 2013
by
meena.p
1
answer
The image of the point
(
3
,
2
,
1
)
in the plane
2
x
−
y
+
3
z
=
7
is :
jeemain
eamcet
math
2009
q61
asked
Oct 10, 2013
by
meena.p
1
answer
If a line in the space makes angles
α
,
β
and
γ
with the coordinate axes, then
cos
2
α
+
cos
2
β
+
cos
2
γ
+
sin
2
α
+
sin
2
β
+
sin
2
γ
=
jeemain
eamcet
math
2009
q60
asked
Oct 10, 2013
by
meena.p
1
answer
The perimeter of the triangle with vertices at
(
1
,
0
,
0
)
,
(
0
,
1
,
0
)
and
(
0
,
0
,
1
)
is :
jeemain
eamcet
math
2009
q59
asked
Oct 10, 2013
by
meena.p
1
answer
The eccentricity of the conic
5
r
=
2
+
3
cos
θ
+
4
sin
θ
is :
jeemain
eamcet
math
2009
q58
asked
Oct 10, 2013
by
meena.p
1
answer
The mid point of the chord
4
x
−
3
y
=
5
of the hyperbola
2
x
2
−
3
y
2
=
12
is :
jeemain
eamcet
math
2009
q57
asked
Oct 10, 2013
by
meena.p
1
answer
If the circle
x
2
+
y
2
=
a
2
intersects the hyperbola
x
y
=
c
2
in four points
(
x
i
,
y
i
)
,
for
i
=
1
,
2
,
3
and
4
, then
y
1
+
y
2
+
y
3
+
y
4
=
jeemain
eamcet
math
2009
q56
asked
Oct 10, 2013
by
meena.p
1
answer
If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is :
jeemain
eamcet
math
2009
q55
asked
Oct 10, 2013
by
meena.p
1
answer
The number of normals drawn to the parabola
y
2
=
4
x
from the point (1,0) is :
jeemain
eamcet
math
2009
q54
asked
Oct 10, 2013
by
meena.p
1
answer
The equation of the circle which passes through the origin and cuts orthogonally each of the circles
x
2
+
y
2
−
6
x
+
8
=
0
and
x
2
+
y
2
−
2
x
−
2
y
=
7
is :
jeemain
eamcet
math
2009
q53
asked
Oct 10, 2013
by
meena.p
1
answer
The points (3,-4) lies on both the cirlces
x
2
+
y
2
−
2
x
+
8
y
+
13
=
0
and
x
2
+
y
2
−
4
x
+
6
y
+
11
=
0.
Then the angle between the circles is :
jeemain
eamcet
math
2009
q52
asked
Oct 10, 2013
by
meena.p
1
answer
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