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jee main
| 2019
Solutions for all the questions from jee main
of year 2019
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2019
SUBJECT
math
maths
class 11
Maths
Algebra
Sequences And Series
a
,
b
,
c
are in G.P. and
a
+
b
+
c
=
x
b
,
x
can not be (a)
2
(b)
−
2
(c)
3
(d)
4
class 12
Maths
Calculus
Definite Integral
∫
0
π
∣
cos
x
∣
3
d
x
is equal to (a)
3
4
(b)
3
2
(c)
0
(d)
3
−
8
class 11
Maths
Algebra
Permutations And Combinations
There are
5
girls and
7
boyes and
2
girls is to be formed such that no two specific boys are in the same team. Number of way to do so (a)
4
0
0
(b)
2
5
0
(c)
2
0
0
(d)
3
0
0
class 12
Maths
Calculus
Functions
The equation
x
2
+
2
x
+
2
=
0
has root
α
and
β
. Then value of
α
1
5
+
β
1
5
is (a)
5
1
2
(b)
2
5
6
(c)
−
5
1
2
(d)
−
2
5
6
class 11
Maths
Algebra
Statistics
Average height & variance of
5
students in a class is
1
5
0
and
1
8
respectively. A new student whose height is
1
5
6
c
m
is added to the group. Find new variance. (a)
2
0
(b)
2
2
(c)
1
6
(d)
1
4
class 12
Maths
Algebra
Vector Algebra
if
A
=
i
−
j
,
B
=
i
+
j
+
k
are two vectors and
C
is another vector such that
A
×
C
+
B
=
0
and
A
.
C
=
0
then
∣
∣
∣
∣
C
∣
∣
∣
∣
2
=
(a)
9
(b)
8
(c)
2
1
9
(d)
2
1
7
class 12
Maths
Calculus
Indefinite Integrals
If
x
2
=
n
π
−
1
,
n
∈
N
. Then, the value of
∫
x
2
sin
(
x
2
+
1
)
+
sin
2
(
x
2
+
1
)
2
sin
(
x
2
+
1
)
−
sin
2
(
x
2
+
1
)
d
x
is equal to:
class 12
Maths
Calculus
Continuity And Differentiability
f
(
x
)
=
{
5
;
x
≤
1
,
a
+
b
x
;
1
<
x
<
3
,
b
+
5
x
;
3
≤
x
<
5
,
3
0
x
≥
5
then
class 11
Maths
Algebra
Binomial Theorem
{
1
5
2
4
0
3
}
=
1
5
k
then find
k
. (a)
2
(b)
8
(c)
1
(d)
4
class 11
Math
All topics
Trigonometric Functions
The value of
3
(
cos
θ
−
sin
θ
)
4
+
6
(
sin
θ
+
cos
θ
)
2
+
4
sin
6
θ
is where
θ
∈
(
4
π
,
2
π
)
(a)
1
3
−
4
cos
4
θ
(b)
1
3
−
4
cos
6
θ
(c)
1
3
−
4
cos
6
θ
+
2
sin
4
θ
cos
2
θ
(d)
1
3
−
4
cos
4
θ
+
2
sin
4
θ
cos
2
θ
1
2
3
4
5
6
7
8
9
10
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jee main
| 2019
Solutions for all the questions from jee main
of year 2019
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2019
SUBJECT
math
maths
class 11
Maths
Algebra
Sequences And Series
a
,
b
,
c
are in G.P. and
a
+
b
+
c
=
x
b
,
x
can not be (a)
2
(b)
−
2
(c)
3
(d)
4
class 12
Maths
Calculus
Definite Integral
∫
0
π
∣
cos
x
∣
3
d
x
is equal to (a)
3
4
(b)
3
2
(c)
0
(d)
3
−
8
class 11
Maths
Algebra
Permutations And Combinations
There are
5
girls and
7
boyes and
2
girls is to be formed such that no two specific boys are in the same team. Number of way to do so (a)
4
0
0
(b)
2
5
0
(c)
2
0
0
(d)
3
0
0
class 12
Maths
Calculus
Functions
The equation
x
2
+
2
x
+
2
=
0
has root
α
and
β
. Then value of
α
1
5
+
β
1
5
is (a)
5
1
2
(b)
2
5
6
(c)
−
5
1
2
(d)
−
2
5
6
class 11
Maths
Algebra
Statistics
Average height & variance of
5
students in a class is
1
5
0
and
1
8
respectively. A new student whose height is
1
5
6
c
m
is added to the group. Find new variance. (a)
2
0
(b)
2
2
(c)
1
6
(d)
1
4
class 12
Maths
Algebra
Vector Algebra
if
A
=
i
−
j
,
B
=
i
+
j
+
k
are two vectors and
C
is another vector such that
A
×
C
+
B
=
0
and
A
.
C
=
0
then
∣
∣
∣
∣
C
∣
∣
∣
∣
2
=
(a)
9
(b)
8
(c)
2
1
9
(d)
2
1
7
class 12
Maths
Calculus
Indefinite Integrals
If
x
2
=
n
π
−
1
,
n
∈
N
. Then, the value of
∫
x
2
sin
(
x
2
+
1
)
+
sin
2
(
x
2
+
1
)
2
sin
(
x
2
+
1
)
−
sin
2
(
x
2
+
1
)
d
x
is equal to:
class 12
Maths
Calculus
Continuity And Differentiability
f
(
x
)
=
{
5
;
x
≤
1
,
a
+
b
x
;
1
<
x
<
3
,
b
+
5
x
;
3
≤
x
<
5
,
3
0
x
≥
5
then
class 11
Maths
Algebra
Binomial Theorem
{
1
5
2
4
0
3
}
=
1
5
k
then find
k
. (a)
2
(b)
8
(c)
1
(d)
4
class 11
Math
All topics
Trigonometric Functions
The value of
3
(
cos
θ
−
sin
θ
)
4
+
6
(
sin
θ
+
cos
θ
)
2
+
4
sin
6
θ
is where
θ
∈
(
4
π
,
2
π
)
(a)
1
3
−
4
cos
4
θ
(b)
1
3
−
4
cos
6
θ
(c)
1
3
−
4
cos
6
θ
+
2
sin
4
θ
cos
2
θ
(d)
1
3
−
4
cos
4
θ
+
2
sin
4
θ
cos
2
θ
1
2
3
4
5
6
7
8
9
10
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page
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