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Recent questions and answers in 2005
Questions
>>
JEEMAIN and NEET
>>
JEEMAIN PAST PAPERS
>>
2005
A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is :
jeemain
physics
past papers
2005
37
answered
Mar 28, 2020
by
premkamat156209
1
answer
Elimination of bromine from 2-bromobutane results in the formation of :
jeemain
chemistry
past papers
2005
138
answered
Feb 22, 2020
by
aliochemist
1
answer
If
z
1
and
z
2
are two non-zero complex numbers such that
|
z
1
+
z
2
|
=
|
z
1
|
+
|
z
2
|
, then arg
z
1
- arg
z
2
is equal to :
jeemain
math
past papers
2005
18
answered
Dec 22, 2019
by
koteswararaopeddi850
1
answer
If in a frequency distribution, the Mean and Medium are 21 and 22 respectively, then its Mode is approximately :
jeemain
math
past papers
2005
3
answered
Nov 19, 2019
by
manishsutradhar1992
1
answer
In which of the following arrangements the order is not according to the property indicated against it ?
jeemain
chemistry
past papers
2005
119
answered
Aug 2, 2019
by
aadarshp751
1
answer
What is the conjugate base of
O
H
−
?
jeemain
chemistry
past papers
2005
110
answered
Jun 16, 2019
by
khurshiddaniyal8
1
answer
Hydrogen bomb is based on the principle of :
jeemain
chemistry
past papers
2005
84
answered
May 27, 2019
by
salman.0011503c12
1
answer
One conducting U-tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed
ν
, then the emf induced in the circuit in terms of
B
,
l
and
ν
, where
l
is the width of each tube, will be : <br>
jeemain
physics
past papers
2005
52
answered
Dec 11, 2018
by
kg.guptakomal96
1
answer
The disperse phase in colloidal iron (III) hydroxide and colloidal gold is positively and negatively charged, respectively. Which of the following statements is not correct ?
jeemain
chemistry
past papers
2005
108
answered
Nov 9, 2018
by
justin.l
1
answer
If the pair of lines
a
x
2
+
2
(
a
+
b
)
x
y
+
b
y
2
=
0
lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector, then :
jeemain
math
past papers
2005
75
asked
Nov 5, 2018
by
pady_1
0
answers
The plane
x
+
2
y
−
z
=
4
cuts the sphere
x
2
+
y
2
+
z
2
−
x
−
2
=
0
in a circle of radius :
jeemain
math
past papers
2005
74
asked
Nov 5, 2018
by
pady_1
0
answers
The value of
∫
π
−
π
cos
2
x
1
+
a
x
d
x
,
a
>
0
, is :
jeemain
math
past papers
2005
73
asked
Nov 5, 2018
by
pady_1
0
answers
If the equation<br>
a
n
x
n
+
a
n
−
1
x
n
−
1
+
.
.
.
.
+
a
1
x
=
0
, <br>
a
1
≠
0
,
n
≥
2
, has a positive root
x
=
α
, then the equation <br>
n
a
n
x
n
−
1
+
(
n
−
1
)
a
n
−
1
x
n
−
2
+
.
.
.
+
a
1
=
0
has a positive root, which is :
jeemain
math
past papers
2005
72
asked
Nov 5, 2018
by
pady_1
0
answers
A real valued function
f
(
x
)
satisfies the functional equation
f
(
x
−
y
)
=
f
(
x
)
f
(
y
)
−
f
(
a
−
x
)
f
(
a
+
y
)
where
a
is a given constant and
f
(
0
)
=
1
,
f
(
2
a
−
x
)
is equal to :
jeemain
math
past papers
2005
71
asked
Nov 5, 2018
by
pady_1
0
answers
If
a
1
,
a
2
,
a
3
,
.
.
.
.
a
n
,
.
.
.
are in GP, then the determinant
Δ
=
|
log
a
n
log
a
n
+
1
log
a
n
+
2
log
a
n
+
3
log
a
n
+
4
log
a
n
+
5
log
a
n
+
6
log
a
n
+
7
log
a
n
+
8
|
is equal to :
jeemain
math
past papers
2005
70
asked
Nov 5, 2018
by
pady_1
0
answers
If both the roots of the quadratic equation
x
2
−
2
k
x
+
k
2
+
k
−
5
=
0
are less than 5, then
k
lies in the interval :
jeemain
math
past papers
2005
69
asked
Nov 5, 2018
by
pady_1
0
answers
A particle is projected from a point
O
with velocity
u
at an angle of
60
∘
with the horizontal. When it is moving in a direction at right angle to its direction at O, then its velocity is given by :
jeemain
math
past papers
2005
68
asked
Nov 5, 2018
by
pady_1
0
answers
Let
x
1
,
x
2
,
.
.
.
.
x
n
be
n
observation such that
Σ
x
2
i
=
400
and
Σ
x
i
=
80
. Then a possible value of
n
among the following is :
jeemain
math
past papers
2005
67
asked
Nov 5, 2018
by
pady_1
0
answers
The sum of the series <br>
1
+
1
4.2
!
+
1
16.4
!
+
1
64.6
!
.
.
.
.
∞
is :
jeemain
math
past papers
2005
66
asked
Nov 5, 2018
by
pady_1
0
answers
A
and
B
are two like parallel forces. A couple of moment
H
lies in the plane of
A
and
B
and is contained with them. The resultant of
A
and
B
after combining is displaced through a distance :
jeemain
math
past papers
2005
65
asked
Nov 5, 2018
by
pady_1
0
answers
If
→
a
,
→
b
,
→
c
are non-coplanar vectors and
λ
is a real number, then <br>
[
λ
(
→
a
+
→
b
)
λ
2
→
b
λ
→
c
]
=
[
→
a
→
b
+
→
c
→
b
]
for :
jeemain
math
past papers
2005
64
asked
Nov 5, 2018
by
pady_1
0
answers
Let
a
,
b
and
c
be distinct non-negative numbers. If the vectors
a
ˆ
i
+
a
ˆ
j
+
c
ˆ
k
,
ˆ
i
+
ˆ
k
and
c
ˆ
i
+
c
ˆ
j
+
b
ˆ
k
lie in a plane, then
c
is :
jeemain
math
past papers
2005
63
asked
Nov 5, 2018
by
pady_1
0
answers
Let
→
a
=
ˆ
i
−
ˆ
k
,
→
b
=
x
ˆ
i
+
ˆ
j
+
(
1
−
x
)
ˆ
k
and
→
c
=
y
ˆ
i
+
x
ˆ
j
+
(
1
+
x
−
y
)
ˆ
k
. Then
[
→
a
→
b
→
c
]
depends on :
jeemain
math
past papers
2005
62
asked
Nov 5, 2018
by
pady_1
0
answers
The resultant
R
of two forces acting on a particle is at right angles to one of them and its magnitude is one third of the other force. The ratio of larger force to smaller one is :
jeemain
math
past papers
2005
61
asked
Nov 5, 2018
by
pady_1
0
answers
A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of
2
c
m
/
s
2
and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/s. The the lizard will catch the insect after :
jeemain
math
past papers
2005
60
asked
Nov 5, 2018
by
pady_1
0
answers
Two points
A
and
B
move from rest along a straight line with constant acceleration
f
and
f
′
respectively. If
A
takes
m
sec more than
B
and describes
′
n
′
unit more than
B
in acquiring the same speed, then :
jeemain
math
past papers
2005
59
asked
Nov 5, 2018
by
pady_1
0
answers
A random variable
X
has Poisson distribution with mean 2. Then
P
(
X
>
1.5
)
equals :
jeemain
math
past papers
2005
58
asked
Nov 5, 2018
by
pady_1
0
answers
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the apply for the same house, is :
jeemain
math
past papers
2005
57
asked
Nov 5, 2018
by
pady_1
0
answers
Let
A
and
B
be two events such that
P
(
¯
A
∪
B
)
=
1
6
,
(
A
∩
B
)
=
1
4
and
P
(
¯
A
)
=
1
4
, where
¯
A
stands for complement of event
A
. Theus events
A
and
B
are :
jeemain
math
past papers
2005
56
asked
Nov 5, 2018
by
pady_1
0
answers
The angle between the lines
2
x
=
3
y
=
−
z
and
6
x
=
−
y
=
−
4
z
is :
jeemain
math
past papers
2005
55
asked
Nov 5, 2018
by
pady_1
0
answers
If the angle
θ
between the line
x
+
1
1
=
y
−
1
2
=
z
−
2
2
and the plane
2
x
−
y
+
√
λ
z
+
4
=
0
is such that
sin
θ
=
1
3
. The value of
λ
is :
jeemain
math
past papers
2005
54
asked
Nov 5, 2018
by
pady_1
0
answers
The locus of a point
P
(
α
,
β
)
moving under the condition that the line
y
=
α
x
+
β
is a tangent to the hyperbola
x
2
a
2
−
y
2
b
2
=
1
is :
jeemain
math
past papers
2005
53
asked
Nov 5, 2018
by
pady_1
0
answers
An ellipse has OB as semi minor axis,
F
and
F
′
its foci and th angle
F
B
F
′
is a right angle. Then the eccentricity of the ellipse is :
jeemain
math
past papers
2005
52
asked
Nov 5, 2018
by
pady_1
0
answers
If a circcle passes through the point
(
a
,
b
)
and cuts the circle
x
2
+
y
2
=
p
2
orthogonally, then the equation of the locus of its centre is :
jeemain
math
past papers
2005
51
asked
Nov 5, 2018
by
pady_1
0
answers
A circle touches the
x
−
a
x
i
s
and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is :
jeemain
math
past papers
2005
50
asked
Nov 5, 2018
by
pady_1
0
answers
If the circles
x
2
+
y
2
+
2
a
x
+
c
y
+
a
=
0
and
x
2
+
y
2
−
3
a
x
+
d
y
−
1
=
0
intersect in two distinct points
P
and
Q
, then the line
5
x
+
b
y
−
a
=
0
passes through
P
and
Q
for :
jeemain
math
past papers
2005
49
asked
Nov 5, 2018
by
pady_1
0
answers
If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of a triangle is :
jeemain
math
past papers
2005
48
asked
Nov 5, 2018
by
pady_1
0
answers
If non-zero numbers
a
,
b
,
c
are in HP, then the straight line
x
a
+
y
b
+
1
c
=
0
always passes through a fixed point. That point is :
jeemain
math
past papers
2005
47
asked
Nov 5, 2018
by
pady_1
0
answers
For any vector
→
a
, the value of
(
→
a
×
ˆ
i
)
2
+
(
→
a
×
ˆ
j
)
2
+
(
→
a
×
ˆ
k
)
2
is equal to :
jeemain
math
past papers
2005
46
asked
Nov 5, 2018
by
pady_1
0
answers
The distance between the line
→
r
=
2
ˆ
i
−
2
ˆ
j
+
3
ˆ
k
+
λ
(
ˆ
i
−
ˆ
j
+
4
ˆ
k
)
and the plane
→
r
.
(
ˆ
i
+
5
ˆ
j
+
ˆ
k
)
=
5
is :
jeemain
math
past papers
2005
45
asked
Nov 5, 2018
by
pady_1
0
answers
If the plane
2
a
x
−
3
a
y
+
4
a
z
+
6
=
0
passes through the mid point of the line joining the centres of the spheres
x
2
+
y
2
+
z
2
+
6
x
−
8
y
−
2
z
=
13
and
x
2
+
y
2
+
z
2
−
10
x
+
4
y
−
2
z
=
8
, than
a
equals :
jeemain
math
past papers
2005
44
asked
Nov 5, 2018
by
pady_1
0
answers
The parabolas
y
2
=
4
x
and
x
2
=
4
y
divide the square region bounded by the lines
x
=
4
,
y
=
4
and the co-ordinate axes. If
S
1
,
S
2
,
S
3
are respectively the areas of these parts numbered from top to bottom, then
S
1
:
S
2
:
S
3
is :
jeemain
math
past papers
2005
43
asked
Nov 5, 2018
by
pady_1
0
answers
The area enclosed between the curve
y
=
log
e
(
x
+
e
)
and the co-ordinate axes is :
jeemain
math
past papers
2005
42
asked
Nov 5, 2018
by
pady_1
0
answers
If
I
1
=
∫
1
0
2
x
2
d
x
,
I
2
=
∫
1
0
2
x
3
d
x
,
I
3
=
∫
2
1
2
x
2
d
x
a
n
d
I
4
=
∫
2
1
2
x
3
d
x
,
then :
jeemain
math
past papers
2005
41
asked
Nov 5, 2018
by
pady_1
0
answers
Let
f
(
x
)
be a non-negative continuous function such that the area bounded by the curve
y
=
f
(
x
)
,
x
−
a
x
i
s
and the ordinates
x
=
π
4
and
x
=
β
>
π
/
4
is <br>
(
β
sin
β
+
π
4
cos
β
+
√
2
β
)
. Then
f
(
π
2
)
is :
jeemain
math
past papers
2005
40
asked
Nov 5, 2018
by
pady_1
0
answers
Let
f
:
R
→
R
be a differentiable function having
f
(
2
)
=
6
,
f
′
(
2
)
=
(
1
48
)
. <br> Then
lim
x
→
2
∫
f
(
x
)
6
4
t
3
x
−
2
d
t
equals :
jeemain
math
past papers
2005
39
asked
Nov 5, 2018
by
pady_1
0
answers
∫
{
(
log
x
−
1
)
1
+
(
log
x
)
2
}
2
d
x
is equal to :
jeemain
math
past papers
2005
38
asked
Nov 5, 2018
by
pady_1
0
answers
A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of
50
c
m
2
/
m
i
n
. When the thickness of ice is 15 cm, then the rate at which the thickness of ice decreases, is :
jeemain
math
past papers
2005
37
asked
Nov 5, 2018
by
pady_1
0
answers
The line parallel to the
x
−
a
x
i
s
and passing through the intersection of the lines
a
x
+
2
b
y
+
3
b
=
0
and
b
x
−
2
a
y
−
3
a
=
0
, where
(
a
,
b
)
≠
(
0
,
0
)
is :
jeemain
math
past papers
2005
36
asked
Nov 5, 2018
by
pady_1
0
answers
If
x
d
y
d
x
=
y
(
log
y
−
log
x
+
1
)
, then the solution of the equation is :
jeemain
math
past papers
2005
35
asked
Nov 5, 2018
by
pady_1
0
answers
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