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Recent questions in Mathematics
Questions
>>
EAMCET
>>
Mathematics
If
3
x
+
2
(
x
+
1
)
(
2
x
2
+
3
)
=
A
x
+
1
+
B
x
+
C
2
x
2
+
3
,
then
A
+
C
−
B
is equal to :
jeemain
eamcet
math
2006
q11
asked
Nov 5, 2013
by
meena.p
1
answer
The correct matching of List I from List II is :
jeemain
eamcet
math
2006
q10
asked
Nov 5, 2013
by
meena.p
1
answer
1
+
2
4
+
2.5
4.8
+
2.5.8
4.8.12
+
2.5.8.11
4.8.12.16
+
.
.
.
.
.
.
.
.
.
is equal to :
jeemain
eamcet
math
2006
q9
asked
Nov 5, 2013
by
meena.p
1
answer
The number of natural numbers less than 1000, in which no two digits are repeated , is :
jeemain
eamcet
math
2006
q8
asked
Nov 5, 2013
by
meena.p
1
answer
Eight different letters of an alphabets are given. Words of four letters from these are formed. The number of such words with at least one letter repeated is :
jeemain
eamcet
math
2006
q7
asked
Nov 5, 2013
by
meena.p
1
answer
For all integers
n
≤
1
, which of the following is divisible by 9?
jeemain
eamcet
math
2006
q6
asked
Nov 5, 2013
by
meena.p
1
answer
√
12
−
√
68
+
48
√
2
is equal to :
jeemain
eamcet
math
2006
q5
asked
Nov 5, 2013
by
meena.p
1
answer
If
x
=
√
2
+
√
3
2
−
√
3
, then
x
2
(
x
−
4
)
2
is equal to
jeemain
eamcet
math
2006
q4
asked
Nov 5, 2013
by
meena.p
1
answer
If
f
:
R
→
R
is defined by
f
(
x
)
=
{
x
+
4
f
o
r
x
<
−
4
3
x
+
2
f
o
r
−
4
≤
x
<
4
x
−
4
f
o
r
x
≥
4
.
then the correct matching of List I from List II is :
jeemain
eamcet
chemistry
2006
q3
asked
Nov 5, 2013
by
meena.p
1
answer
If
f
:
R
→
R
is defined by
f
(
x
)
=
[
2
x
]
−
2
[
x
]
for
x
∈
R
,
where
[
x
]
is the greatest integer not exceeding x, then the range of f is :
jeemain
eamcet
math
2006
q2
asked
Nov 5, 2013
by
meena.p
1
answer
If
f
:
R
→
R
is defined by
f
(
x
)
=
x
−
[
x
]
−
1
2
for
x
∈
R
,
where
[
x
]
is the greatest integer not exceeding x, then
{
x
∈
R
:
f
(
x
)
=
1
2
}
is equal to :
jeemain
eamcet
math
2006
q1
asked
Nov 5, 2013
by
meena.p
1
answer
The solution of
d
y
d
x
+
1
=
e
x
+
y
is
jeemain
eamcet
math
2007
q80
asked
Oct 28, 2013
by
meena.p
1
answer
The solution of
d
y
d
x
=
y
2
x
y
−
x
2
is
jeemain
eamcet
math
2007
q79
asked
Oct 28, 2013
by
meena.p
1
answer
The solution of
(
x
+
y
+
1
)
d
y
d
x
=
1
jeemain
eamcet
math
2007
q78
asked
Oct 28, 2013
by
meena.p
1
answer
The differential equation obtained by eliminating the arbitrary constant a and b from
x
y
=
a
e
x
+
b
e
−
x
is
jeemain
eamcet
math
2007
q77
asked
Oct 28, 2013
by
meena.p
1
answer
The area (in square unit ) of the region enclosed by the curves
y
=
x
2
and
y
=
x
3
is
jeemain
eamcet
math
2007
q76
asked
Oct 28, 2013
by
meena.p
1
answer
2
x
∫
0
sin
6
x
cos
5
x
d
x
is equal to
jeemain
eamcet
math
2007
q75
asked
Oct 28, 2013
by
meena.p
1
answer
If
f
(
t
)
=
t
∫
−
t
e
−
|
x
|
2
d
x
, then
lim
t
→
∞
f
(
t
)
is equal to
jeemain
eamcet
math
2007
q74
asked
Oct 28, 2013
by
meena.p
1
answer
∫
sin
x
+
8
cos
x
4
sin
x
+
6
cos
x
d
x
is equal to
jeemain
eamcet
math
2007
q73
asked
Oct 28, 2013
by
meena.p
1
answer
∫
tan
−
1
(
√
1
−
x
1
+
x
)
d
x
is equal to
jeemain
eamcet
math
2007
q72
asked
Oct 28, 2013
by
meena.p
1
answer
If
∫
e
x
−
1
e
x
+
1
d
x
=
f
(
x
)
+
c
, then f(x) is equal to
jeemain
eamcet
math
2007
q71
asked
Oct 28, 2013
by
meena.p
0
answers
If
z
=
log
(
tan
x
+
tan
y
)
, then
(
sin
2
x
)
∂
z
∂
x
+
(
sin
2
y
)
∂
z
∂
y
is equal to
jeemain
eamcet
math
2007
q70
asked
Oct 28, 2013
by
meena.p
1
answer
Observe the statement given below: Assertion (A):
f
(
x
)
=
x
e
−
x
has the maximum at
x
=
1
Reason (R):
f
(
1
)
=
0
and
f
(
1
)
<
0
which of following is correct ?
jeemain
eamcet
math
2007
q69
asked
Oct 28, 2013
by
meena.p
1
answer
The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is
jeemain
eamcet
math
2007
q68
asked
Oct 28, 2013
by
meena.p
1
answer
The condition
f
(
x
)
=
x
3
+
p
x
2
+
q
x
+
r
(
x
∈
R
)
to have no extreme value, is
jeemain
eamcet
math
2007
q67
asked
Oct 28, 2013
by
meena.p
1
answer
The lengths of tangent, subtangent, normal and subnormal for the curve
y
=
x
2
+
x
−
1
at
(
1
,
1
)
are A,B,C and D respectively then their increasing order is
jeemain
eamcet
math
2007
q66
asked
Oct 28, 2013
by
meena.p
1
answer
x
=
cos
θ
,
y
=
sin
5
θ
=>
(
1
−
x
2
)
d
2
y
d
x
2
−
x
d
y
d
x
is equal to
jeemain
eamcet
math
2007
q65
asked
Oct 28, 2013
by
meena.p
1
answer
y
=
log
{
(
1
+
x
1
−
x
)
1
/
4
}
−
1
2
tan
−
1
(
x
)
,
then
d
y
d
x
is equal to
jeemain
eamcet
math
2007
q64
asked
Oct 28, 2013
by
meena.p
1
answer
If
2
x
2
−
3
x
y
+
y
2
+
x
+
2
y
−
8
=
0
, then
d
y
d
x
is equal to
jeemain
eamcet
math
2007
q63
asked
Oct 26, 2013
by
meena.p
1
answer
If
f
(
x
)
=
{
sin
(
1
+
[
x
]
)
[
x
]
,
f
o
r
[
x
]
≠
0
0
,
f
o
r
[
x
]
=
0
where
[
x
]
denotes the greatest integer not exceeding x, then
lim
x
→
0
f
(
x
)
is equal to
jeemain
eamcet
math
2007
q62
asked
Oct 26, 2013
by
meena.p
1
answer
If
f
(
x
)
=
{
x
−
5
,
f
o
r
x
≤
1
4
x
2
−
9
,
f
o
r
1
<
x
<
2
3
x
+
4
,
f
o
r
x
≥
2
then
f
′
(
2
+
)
is equal to
jeemain
eamcet
math
2007
q61
asked
Oct 26, 2013
by
meena.p
1
answer
lim
x
→
2
e
x
−
e
sin
x
2
(
x
−
sin
x
)
jeemain
eamcet
math
2007
q60
asked
Oct 26, 2013
by
meena.p
1
answer
The area (in square unit) of the triangle formed by the points with polar coordinates
(
1
,
0
)
,
(
2
,
π
3
)
and
(
3
,
2
π
3
)
is
jeemain
eamcet
math
2007
q59
asked
Oct 26, 2013
by
meena.p
1
answer
If the line
l
x
+
m
y
=
1
is normal to the hyperbola
jeemain
eamcet
math
2007
q58
asked
Oct 26, 2013
by
meena.p
1
answer
The value of k , if (1,2),(k,1) are conjugate points with respect to the ellipse
2
x
2
+
3
y
2
=
6
is
jeemain
eamcet
math
2007
q57
asked
Oct 25, 2013
by
meena.p
1
answer
For the parabola
y
2
+
6
y
−
2
x
+
5
=
0
(I) The vertex is (-2,-3) (II) The directrix is y+3=0
jeemain
eamcet
math
2007
q56
asked
Oct 25, 2013
by
meena.p
1
answer
The condition for the coaxial system
x
2
+
y
2
+
2
λ
x
+
c
=
0
,
where
λ
is a parameter and c is a constant to have distinct limiting points, is
jeemain
eamcet
math
2007
q55
asked
Oct 25, 2013
by
meena.p
1
answer
The inverse point of (1,2) with respect to the circle
x
2
+
y
2
−
4
x
−
6
y
+
9
=
0
is
jeemain
eamcet
math
2007
q54
asked
Oct 25, 2013
by
meena.p
1
answer
The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x=0 and y=0 is
jeemain
eamcet
math
2007
q53
asked
Oct 25, 2013
by
meena.p
1
answer
The cosine of the angle A of the triangle with vertices
A
(
1
,
−
1
,
2
)
,
B
(
6
,
11
,
2
)
,
C
(
1
,
2
,
6
)
is
jeemain
eamcet
math
2007
q52
asked
Oct 25, 2013
by
meena.p
1
answer
The ratio in which yz - plane divides the line segment joining
(
−
3
,
4
,
−
2
)
and
(
2
,
1
,
3
)
is
jeemain
eamcet
math
2007
q51
asked
Oct 25, 2013
by
meena.p
1
answer
If the lines
x
2
+
2
x
y
−
35
y
2
−
4
x
+
44
y
−
12
=
0
and
5
x
+
λ
y
−
8
=
0
are concurrent, then the value of
λ
is
jeemain
eamcet
math
2007
q50
asked
Oct 25, 2013
by
meena.p
1
answer
The angle between the pair of straight lines formed by joining the points of intersection of
x
2
+
y
2
=
4
and
y
=
3
x
+
c
to the origin is a right angle. Then
c
2
is equal to
jeemain
eamcet
math
2007
q49
asked
Oct 25, 2013
by
meena.p
1
answer
In the triangle with vertices at
A
(
6
,
3
)
,
B
(
−
6
,
3
)
and
C
(
−
6
,
−
3
)
the median through A meets BC at P, the line AC meets the x-axis at Q,while R and S respectively denote the orthocenter and centroid of the triangle. Then the correct matching of the coordinates of points in List -I to List - II is
jeemain
eamcet
math
2007
q48
asked
Oct 25, 2013
by
meena.p
1
answer
If
A
(
2
,
−
1
)
and
B
(
6
,
5
)
are two points the ratio in which the foot of the perpendicular from (4,1) to AB divides it, is
jeemain
eamcet
math
2007
q47
asked
Oct 25, 2013
by
meena.p
1
answer
The angle between the line joining the points
(
1
,
−
2
)
,
(
3
,
2
)
and the line
x
+
2
y
−
7
=
0
is
jeemain
eamcet
math
2007
q46
asked
Oct 25, 2013
by
meena.p
1
answer
In order to eliminate the first degree terms from the equation
2
x
2
+
4
x
y
+
5
y
2
−
4
x
−
22
y
+
7
=
0
,
the point to which origin is to be shifted, is
jeemain
eamcet
math
2007
q45
asked
Oct 25, 2013
by
meena.p
1
answer
The probability distribution of a random variable X is given by
jeemain
eamcet
math
2007
q44
asked
Oct 25, 2013
by
meena.p
1
answer
The mean and standard deviation of a binomial variate x are 4 and
√
3
respectively. Then
P
(
X
≥
1
)
is equal to
jeemain
eamcet
math
2007
q43
asked
Oct 25, 2013
by
meena.p
1
answer
A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour, is
jeemain
eamcet
math
2007
q42
asked
Oct 25, 2013
by
meena.p
1
answer
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