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JEEMAIN-2016
The point
(
2
,
1
)
is translated parallel to the line
L
:
x
−
y
=
4
by
2
√
3
units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If a variable line drawn through the intersection of the lines
x
3
+
y
4
=
1
and
x
4
+
y
3
=
1
, meets the coordinate axes at
A
and
B
,
(
A
≠
B
)
,
then the locus of the midpoint of AB is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If
f
(
x
)
is a differentiable function in the interval
(
0
,
∞
)
such that
f
(
1
)
=
1
and
lim
t
→
x
t
2
f
(
x
)
−
x
2
f
(
t
)
t
−
x
=
1
fopr each
x
>
0
then
f
(
3
2
)
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The area (in sq. units) of the region described by
A
=
{
(
x
,
y
)
|
y
≥
x
2
−
5
x
+
4
,
x
+
y
≥
1
,
y
≤
0
}
is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Bromination of cyclohexene under conditions given below yields :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If
2
1
∫
0
tan
−
1
x
d
x
=
1
∫
0
cot
−
1
(
1
−
x
+
x
2
)
d
x
then
1
∫
0
tan
−
1
(
1
−
x
+
x
2
)
d
x
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Sodium extract is heated with concentrated HNO3 before testing for halogens because :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Which one of the following substances used in dry cleaning is a better strategy to control environmental pollution ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If
∫
d
x
cos
3
x
√
2
sin
2
x
=
(
tan
x
)
A
+
C
(
tan
x
)
B
+
k
where k is a constant of integration, then
A
+
B
+
C
equals :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The transition metal ions responsible for color in ruby and emerald are, respectively :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The minimum distance of a point on the curve
y
=
x
2
−
4
from the origin is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Which of the following is an example of homoleptic complex ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Identify the correct statement :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If the tangent at a point
P
,
with parameter
t
, on the curve
x
=
4
t
2
+
3
,
y
=
8
t
3
−
1
,
t
∈
R
,
meets the curve again at a point Q, then the coordinates of Q are :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Identify the incorrect statement :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Assertion : Among the carbon allotropes, diamond is an insulator, whereas, graphite is a good conductor of electricity </br> Reason : Hybridization of carbon in diamond and graphite are
s
p
3
and
s
p
2
, respectively.
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If the function
f
(
x
)
=
{
−
x
,
x
<
1
a
+
cos
−
1
(
x
+
b
)
,
1
≤
x
≤
2
is differentiable at
x
=
1
, then
a
b
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The commercial name for calcium oxide is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Identify the reaction which does not liberate hydrogen :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
If
lim
x
→
∞
\bigg( 1+ \large\frac{a}{x}-\frac{4]{x^2} \bigg)^{2x} =e^3$, then 'a' is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Extraction of copper by smelting uses silica as an additive to remove :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The value of
15
∑
r
=
1
r
2
(
15
C
r
15
C
r
−
1
)
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The following statements concern elements in the periodic table. Which of the following is true ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Gold numbers of some colloids are : Gelatin : 0.005 - 0.01, Gum Arabic : 0.15 - 0.25; Oleate : 0.04 - 1.0; Starch : 15 - 25. Which among these is a better protective colloid ?
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
The rate law for the reaction below is given by the expression
k
[
A
]
[
B
]
A
+
B
→
P
r
o
d
u
c
t
If the concentration of
B
is increased from
0.1
to
0.3
m
o
l
e
, keeping the value of
A
at
0.1
m
o
l
e
, the rate constant will be :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
Let
x
,
y
,
z
be positive real numbers such that
x
+
y
+
z
=
12
and
x
3
y
4
z
5
=
(
0.1
)
(
600
)
3
. Then
x
3
+
y
3
+
z
3
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing
0.2
F
a
r
a
d
a
y
electricity through an aqueous solution of potassium succinate, the total volume of gases (at both cathode and anode) at STP (
1
a
t
m
and
273
K
) is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
A solid
X
Y
kept in an evacuated sealed container undergoes decomposition to form a mixture of gases
X
and
Y
at temperature
T
. The equilibrium pressure is
10
b
a
r
in this vessel.
K
p
for this reaction is :
jeemain 2016 chemistry set c 10042016
asked
May 26, 2017
by
priyanka.c
1
answer
An aqueous solution of a salt
M
X
2
at certain temperature has a van’t Hoff factor of
2
. The degree of dissociation for this solution of the salt is :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
If
100
m
o
l
e
of
H
2
O
2
decompose at
1
b
a
r
and
300
K
,
the work done
(
k
J
)
by one mole of
O
2
(
g
)
as it expands against 1 bar pressure is:
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The bond angle
H
−
X
−
H
is the greatest in the compound :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
Aqueous solution of which salt will not contain ions with the electronic configuration
1
s
2
2
s
2
2
p
6
3
s
2
3
p
6
?
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
Initially, the
r
o
o
t
m
e
a
n
s
q
u
a
r
e
(
r
m
s
)
velocity of
N
2
molecules at certain temperature is
u
. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new
r
m
s
velocity will be :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The volume of
0.1
N
dibasic acid sufficient to neutralize
1
g
of a base that furnishes
0.04
mole of
O
H
−
in aqueous solution is :
jeemain 2016 chemistry set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The ratio
(
R
)
of output resistance
r
0
, and the input resistance
r
i
in measurements of input and output characteristics of a transistor is typically in the range :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
A realistic graph depicting the variation of the reciprocal of input resistance in an input characteristics measurement in a commonemitter transistor configuration is :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
A galvanometer has a
50
division scale. Battery has no internal resistance. It is found that there is deflection of
40
divisions when
R
=
2400
Ω
. Deflection becomes
20
divisions when resistance taken from resistance box is
4900
Ω
. Then we can conclude :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
For
x
∈
R
,
x
≠
−
1
, if
(
1
+
x
)
2016
+
x
(
1
=
x
)
2015
+
x
2
(
1
+
x
)
2014
+
.
.
.
.
.
.
.
+
x
2016
=
2016
∑
i
=
0
a
i
x
i
, then
a
17
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
If the four letter words (need not be meaningful ) are to be formed using the letters from the word “MEDITERRANEAN” such that the first letter is R and the fourth letter is E, then the total number of all such words is :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
The number of distinct real roots of the equation
P
=
|
cos
x
sin
x
sin
x
sin
x
cos
x
sin
x
sin
x
sin
x
cos
x
|
=
0
in the interval
[
−
π
4
,
π
4
]
is :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
If
P
=
[
√
3
2
1
2
−
1
2
√
3
2
]
,
A
=
[
1
1
0
1
]
and
Q
=
P
A
P
T
, then
P
T
q
2015
P
is :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
A thin
1
m
long rod has a radius of
5
m
m
. A force of
50
π
k
N
is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is
0.01
m
m
, which of the following statements is false ?
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
A particle of mass m is acted upon by a force
F
given by the empirical law
F
=
R
t
2
v
(
t
)
. If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
A modulated signal
C
m
(
t
)
has the form
C
m
(
t
)
=
30
sin
300
π
t
+
10
(
c
o
s
200
π
t
−
cos
400
π
t
)
. The carrier frequency
f
c
, the modulating frequency (message frequency)
f
ω
, and the modulation index
µ
are respectively given by :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
To get an output of 1 from the circuit shown in figure the input must be :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
If the equations
x
2
+
b
x
−
1
=
0
and
x
2
+
x
+
b
=
0
have a common root different from
−
1
, then
|
b
|
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which inelastic collision will take place is
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
The point represented by
2
+
i
in the Argand plane moves
1
u
n
i
t
eastwards, then
2
u
n
i
t
s
northwards and finally from there
2
√
2
units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
For
x
∈
R
,
x
≠
0
,
x
≠
1
,
let
f
0
(
x
)
=
1
1
−
x
and
f
n
+
1
(
x
)
=
f
0
(
f
n
(
x
)
)
,
n
=
0
,
1
,
2
.... Then the value of
f
100
(
3
)
+
f
1
(
2
3
)
+
f
2
(
3
2
)
is equal to :
jeemain
2016
maths
set b
09042016
asked
May 25, 2017
by
meena.p
1
answer
A photoelectric surface is illuminated successively by monochromatic light of wavelengths
λ
and
λ
2
. If the maximum kinetic energy of the emitted photoelectrons in the second case is
3
t
i
m
e
s
that in the first case, the work function of the surface is :
jeemain 2016 physics set c 10042016
asked
May 25, 2017
by
priyanka.c
1
answer
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