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Recent questions and answers in 2001
Questions
>>
JEEMAIN and NEET
>>
JEEMAIN PAST PAPERS
>>
2001
......... process is used for the removal of hardness of water :
jeemain
chemistry
past papers
2001
53
answered
Mar 24, 2020
by
sangethamadhu82
1
answer
The events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14, then the probability that neither A nor B occurs, is :
jeemain
math
past papers
2001
109
answered
Feb 4, 2020
by
smitha.ds
1
answer
In a nuclide, one a.m.u of mass is dissipated into energy to bind its nucleons. The energy equivalent of this mass is :
jeemain
chemistry
past papers
2001
83
answered
Dec 20, 2019
by
azharwahab950
1
answer
The energy of an electron present in Bohr's second orbit of hydrogen atom is :
jeemain
chemistry
past papers
2001
81
answered
Jul 15, 2019
by
sharmaaparna1
1
answer
Find the binomial probability distribution whose mean is 3 and variance is 2.
jeemain
math
past papers
2001
111
answered
Jul 15, 2019
by
ritishgulati2018
1
answer
The r.m.s velocity of
C
O
2
at a temperature
T
(in kelvin) is
x
c
m
s
e
c
−
1
. At what temperature (in kelvin), the r.m.s. velocity of nitrous oxide would be
4
x
c
m
s
e
c
−
1
? <br> (Atomic weights of
C
,
N
and
O
are respectively
12
,
14
and
16
) :
jeemain
chemistry
past papers
2001
91
answered
Jul 14, 2019
by
vsimmi196
1
answer
If the normal to the parabola
y
2
=
4
x
at
P
(
1
,
2
)
meets the parabola again in
Q
, then co-ordinates of
Q
are :
jeemain
math
past papers
2001
131
answered
Jul 10, 2019
by
dattawakde7507
1
answer
A magnet of length
10
c
m
and magnetic moment
1
A
m
2
is placed along side AB of an equilateral triangle ABC. If the length of the side AB is
10
c
m
. The magnetic induction at the point 'C' is :<br>
(
μ
0
=
4
π
×
10
−
7
H
m
−
1
)
jeemain
physics
past papers
2001
8
answered
Jul 8, 2019
by
syedataj761
1
answer
Absolute alcohol (100% alcohol) is prepared by distilled rectified spirit over :
jeemain
chemistry
past papers
2001
74
answered
Jul 7, 2019
by
akbhavya67
1
answer
The equation
16
x
2
+
y
2
+
8
x
y
−
74
x
−
78
y
+
212
=
0
represents :
jeemain
math
past papers
2001
134
answered
Mar 9, 2019
by
nsravni180
1
answer
In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced to
3
4
t
h
of the original length and the tension is changed. The factor by which the tension is to be changed is :
jeemain
physics
past papers
2001
15
answered
Mar 5, 2019
by
sangeethav838
1
answer
A steel meter scale is to be ruled so hat millimeter intervals are accurate within about
5
×
10
−
5
m
at a certain temperature. The maximum temperature variation allowable during the ruling is: <br> (Coefficient of linear expansion of steel =
10
×
10
−
6
K
−
1
)
jeemain
physics
past papers
2001
50
answered
Feb 25, 2019
by
upkarsingh2580
1
answer
The shadow of a tower standing on a level ground is found to be 60 metres longer when the sun's altitude is
30
∘
than when it is
45
∘
. The height of the tower is :
jeemain
math
past papers
2001
200
asked
Dec 11, 2018
by
pady_1
0
answers
In a triangle
A
B
C
,
a
2
sin
2
C
+
c
2
sin
2
A
is equal to :
jeemain
math
past papers
2001
199
asked
Dec 11, 2018
by
pady_1
0
answers
In a triangle
A
B
C
,
a
b
2
−
c
2
+
c
b
2
−
a
2
=
0
, then
B
is equal to :
jeemain
math
past papers
2001
198
asked
Dec 11, 2018
by
pady_1
0
answers
In a triangle
A
B
C
,
cos
C
+
cos
A
c
+
a
+
cos
B
b
is equal to :
jeemain
math
past papers
2001
197
asked
Dec 11, 2018
by
pady_1
0
answers
sin
−
1
(
x
√
1
−
x
2
)
is equal to :
jeemain
math
past papers
2001
196
asked
Dec 11, 2018
by
pady_1
0
answers
sec
2
(
tan
−
1
2
)
+
c
o
s
e
c
2
(
cot
−
1
3
)
is equal to :
jeemain
math
past papers
2001
195
asked
Dec 11, 2018
by
pady_1
0
answers
The equation
√
3
sin
x
+
cos
x
=
4
, has:
jeemain
math
past papers
2001
194
asked
Dec 11, 2018
by
pady_1
0
answers
If
A
,
B
,
C
,
D
are angles of a cyclic quadrilateral, then
cos
A
+
cos
B
+
cos
C
+
cos
D
is equal to :
jeemain
math
past papers
2001
193
asked
Dec 11, 2018
by
pady_1
0
answers
cos
2
(
π
6
+
θ
)
−
sin
2
(
π
6
−
θ
)
is equal to :
jeemain
math
past papers
2001
192
asked
Dec 11, 2018
by
pady_1
0
answers
If
c
o
s
e
c
θ
=
p
+
q
p
−
q
, then
cot
(
π
4
+
θ
2
)
is equal to :
jeemain
math
past papers
2001
191
asked
Dec 11, 2018
by
pady_1
0
answers
sin
5
θ
sin
θ
is equal to :
jeemain
math
past papers
2001
190
asked
Dec 11, 2018
by
pady_1
0
answers
If
θ
=
π
6
, then the
10
t
h
term of
1
+
(
cos
θ
+
i
sin
θ
)
+
(
cos
θ
+
i
sin
θ
)
2
+
(
cos
θ
+
i
sin
θ
)
3
+
.
.
.
is equal to :
jeemain
math
past papers
2001
189
asked
Dec 11, 2018
by
pady_1
0
answers
If
|
1
−
i
i
1
+
2
i
−
i
|
=
x
+
i
y
, then
x
is equal to :
jeemain
math
past papers
2001
188
asked
Dec 11, 2018
by
pady_1
0
answers
If
a
is a complex number and
b
is a real number, then the equation
¯
a
+
a
+
b
=
0
represents a:
jeemain
math
past papers
2001
187
asked
Dec 11, 2018
by
pady_1
0
answers
If
A
=
[
0
2
3
−
4
]
,
h
A
=
[
0
3
a
2
b
24
]
, then the value of
h
,
a
,
b
are respectively :
jeemain
math
past papers
2001
186
asked
Dec 11, 2018
by
pady_1
0
answers
A square matrix
[
a
i
j
]
in which
a
i
j
=
0
for
i
≠
j
and
a
i
j
=
k
(constant) for
i
=
j
is called a:
jeemain
math
past papers
2001
185
asked
Dec 11, 2018
by
pady_1
0
answers
If
A
=
[
−
2
2
−
3
2
]
,
B
=
[
0
−
1
1
0
]
, then
(
B
−
1
A
−
1
)
−
1
is equal to :
jeemain
math
past papers
2001
184
asked
Dec 11, 2018
by
pady_1
0
answers
The bi-quadratic equation, two of whose roots are
1
+
i
,
1
−
√
2
, is :
jeemain
math
past papers
2001
183
asked
Dec 11, 2018
by
pady_1
0
answers
lim
x
→
0
sin
x
sin
−
1
x
x
2
is equal to :
jeemain
math
past papers
2001
182
asked
Dec 11, 2018
by
pady_1
0
answers
If
1
is a multiple root of order 3 for the equation
x
4
−
2
x
3
+
2
x
−
1
=
0
, then the other root is :
jeemain
math
past papers
2001
181
asked
Dec 11, 2018
by
pady_1
0
answers
The roots of the equation
x
3
−
14
x
2
+
56
x
−
64
=
0
are in :
jeemain
math
past papers
2001
180
asked
Dec 11, 2018
by
pady_1
0
answers
Each of the roots of the equation
x
3
−
6
x
2
+
6
x
−
5
=
0
are increased by
h
. So that the new transformed equation does not contain
x
2
term, then
h
is equal to :
jeemain
math
past papers
2001
179
asked
Dec 11, 2018
by
pady_1
0
answers
20
2
−
3
x
2
=
(
40
√
5
)
3
x
2
−
2
, then
x
is equal to :
jeemain
math
past papers
2001
178
asked
Dec 11, 2018
by
pady_1
0
answers
If
α
,
β
are the roots of the equation
x
2
+
b
x
+
c
=
0
and
α
+
h
,
β
+
h
are the roots of the equation
x
2
+
q
x
+
r
=
0
, then
h
is equal to :
jeemain
math
past papers
2001
177
asked
Dec 11, 2018
by
pady_1
0
answers
|
x
|
<
1
, the coefficient of
x
3
in the expansion of
log
(
1
+
x
+
x
2
)
in ascending powers of
x
, is :
jeemain
math
past papers
2001
176
asked
Dec 11, 2018
by
pady_1
0
answers
2
2
!
+
2
+
4
3
!
+
2
+
4
+
6
4
!
+ ...$ is equal to:
jeemain
math
past papers
2001
175
asked
Dec 11, 2018
by
pady_1
0
answers
If
x
−
4
x
2
−
5
x
−
2
k
=
2
x
−
2
−
1
x
+
k
′
then
k
is equal to :
jeemain
math
past papers
2001
174
asked
Dec 11, 2018
by
pady_1
0
answers
If
(
1
+
x
)
n
=
C
0
+
C
1
x
+
C
2
x
2
+
.
.
.
.
+
C
n
x
n
, then
C
0
+
2
C
1
+
3
C
2
+
.
.
.
.
+
(
n
+
1
)
C
n
is equal to :
jeemain
math
past papers
2001
173
asked
Dec 11, 2018
by
pady_1
0
answers
The co-efficient of
x
4
in the expansion of
(
1
−
3
x
)
2
(
1
−
2
x
)
is equal to :
jeemain
math
past papers
2001
172
asked
Dec 11, 2018
by
pady_1
0
answers
1
+
1
4
+
1.3
4.8
+
1.3.5
4.8.12
+
.
.
.
is equal to :
jeemain
math
past papers
2001
171
asked
Dec 11, 2018
by
pady_1
0
answers
Using the digits
0
,
2
,
4
,
6
,
8
not more than once in any number, the number of 5 digited numbers that can be formed, is :
jeemain
math
past papers
2001
170
asked
Dec 11, 2018
by
pady_1
0
answers
The number of ways in which 5 boys and 4 girls sit around a circular tables. So that no two girls sit together is :
jeemain
math
past papers
2001
169
asked
Dec 11, 2018
by
pady_1
0
answers
If
y
=
A
cos
n
x
+
B
sin
n
x
, then
y
2
=
n
2
y
is equal to :
jeemain
math
past papers
2001
168
asked
Dec 11, 2018
by
pady_1
0
answers
If
2
3
+
4
3
+
6
3
+
.
.
.
.
+
(
2
n
)
3
=
h
n
2
(
n
+
1
)
2
, then
h
is equal to :
jeemain
math
past papers
2001
167
asked
Dec 11, 2018
by
pady_1
0
answers
If
x
=
log
0.1
0.001
,
y
=
log
9
81
, then
√
x
−
2
√
y
is equal to :
jeemain
math
past papers
2001
166
asked
Dec 11, 2018
by
pady_1
0
answers
√
8
+
√
28
+
√
8
−
√
28
√
8
+
√
28
−
√
8
−
√
28
is equal to :
jeemain
math
past papers
2001
165
asked
Dec 11, 2018
by
pady_1
0
answers
Two functions
f
:
R
→
R
,
g
:
R
→
R
are defined as follows <br>
f
(
x
)
=
{
0
,
x
is rational
1
,
x
is irrational
<br>
g
(
x
)
=
{
−
1
,
x
is rational
0
,
x
is irrational
<br> Then
(
f
o
g
)
(
π
)
+
(
g
o
f
)
(
e
)
is equal to :
jeemain
math
past papers
2001
164
asked
Dec 11, 2018
by
pady_1
0
answers
Let
f
:
R
→
R
is defined by <br>
f
(
x
)
=
{
x
+
2
,
x
≤
−
1
x
2
,
−
1
<
x
<
1
2
−
x
,
x
≥
1
<br> Then the value of
f
(
−
1.75
)
+
f
(
0.5
)
+
f
(
1.5
)
is :
jeemain
math
past papers
2001
163
asked
Dec 11, 2018
by
pady_1
0
answers
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