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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 πkN
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 mm
, 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 = \frac{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 \; 300πt+10\; (cos 200πt −\cos 400πt)
. 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+bx−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 \;unit
eastwards, then
2 \;units
northwards and finally from there
2 \sqrt 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 \in R, x \neq 0,x \neq 1 ,
let
f_0(x) =\large\frac{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\bigg( \large\frac{2}{3}\bigg) +f_2 \bigg( \large\frac{3}{2}\bigg)
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
\frac{λ}{2}
. If the maximum kinetic energy of the emitted photoelectrons in the second case is
3\; times
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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