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Recent questions in JEEMAIN PAST PAPERS
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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
JEEMAIN PAST PAPERS
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A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is
60
∘
and when he retires
40
meter away from the tree the angle of elevation becomes
30
∘
. The breadth of the river is
jeemain
math
past papers
2004
24
asked
Nov 5, 2018
by
pady_1
0
answers
The sides of the triangle are
sin
α
,
cos
α
and
√
1
+
sin
α
cos
α
for some
0
<
α
<
π
2
. Then the greatest angle of the triangle is
jeemain
math
past papers
2004
23
asked
Nov 5, 2018
by
pady_1
0
answers
If
u
=
√
a
2
cos
2
θ
+
b
2
sin
2
θ
+
√
a
2
sin
2
θ
+
b
2
cos
2
θ
, then the difference between the maximum and minimum values of
u
2
is given by
jeemain
math
past papers
2004
22
asked
Nov 5, 2018
by
pady_1
0
answers
Let
α
,
β
be such that
π
−
α
−
β
<
3
π
. If
sin
α
+
sin
β
=
−
21
65
and
cos
α
+
cos
β
=
−
27
65
, then the value of
cos
α
−
β
2
is
jeemain
math
past papers
2004
21
asked
Nov 5, 2018
by
pady_1
0
answers
The sum of series
1
2
!
+
1
4
!
+
1
6
!
+
.
.
.
is
jeemain
math
past papers
2004
20
asked
Nov 5, 2018
by
pady_1
0
answers
The sum of the first n terms of the series
1
2
+
2.2
2
+
3
2
+
2.4
2
+
5
2
+
2.6
2
+
.
.
.
is
n
(
n
+
1
)
2
2
when
n
is even. When
n
is odd the sum is
jeemain
math
past papers
2004
19
asked
Nov 5, 2018
by
pady_1
0
answers
Let
T
f
be the
r
t
h
term of an A.P whose first term is a and common difference is
d
. If for some positive integers
m
,
n
,
m
≠
n
,
T
m
=
1
n
and
T
n
=
1
m
, then
a
−
d
equals
jeemain
math
past papers
2004
18
asked
Nov 5, 2018
by
pady_1
0
answers
If
S
n
=
n
∑
r
=
0
1
n
C
r
and
t
n
=
n
∑
r
=
0
r
n
C
r
, then
t
n
S
n
is equal to
jeemain
math
past papers
2004
17
asked
Nov 5, 2018
by
pady_1
0
answers
The coefficient of
x
n
in expansion of
(
1
+
x
)
(
1
−
x
)
n
is
jeemain
math
past papers
2004
16
asked
Nov 5, 2018
by
pady_1
0
answers
The coefficient of the middle term in the binomial expansion in powers of
(
1
+
α
x
)
4
and of
(
1
−
α
x
)
6
is the same if
α
equals
jeemain
math
past papers
2004
15
asked
Nov 5, 2018
by
pady_1
0
answers
The one root of the equation
x
2
+
p
x
+
12
=
0
is 4, while the equation
x
2
+
p
x
+
q
=
0
has equal roots, then the value of 'q' is
jeemain
math
past papers
2004
14
asked
Nov 5, 2018
by
pady_1
0
answers
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
jeemain
math
past papers
2004
13
asked
Nov 5, 2018
by
pady_1
0
answers
Hoe many ways are there to arrange the letters in the worf GARDEN with the vowels in alphabetical order ?
jeemain
math
past papers
2004
12
asked
Nov 5, 2018
by
pady_1
0
answers
Let
S
(
K
)
=
1
+
3
+
5
+
.
.
.
.
+
(
2
K
−
1
)
=
3
+
K
2
. Then which of the following is true ?
jeemain
math
past papers
2004
11
asked
Nov 5, 2018
by
pady_1
0
answers
If
(
1
−
p
)
is a root of quadratic equation
x
2
+
p
x
+
(
1
−
p
)
=
0
, then its roots are
jeemain
math
past papers
2004
10
asked
Nov 5, 2018
by
pady_1
0
answers
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation-
jeemain
math
past papers
2004
9
asked
Nov 5, 2018
by
pady_1
0
answers
If
a
1
,
a
2
,
a
3
,
.
.
.
.
,
a
n
,
.
.
.
.
are in G.P., then the value of the determinant
|
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
jeemain
math
past papers
2004
8
asked
Nov 5, 2018
by
pady_1
0
answers
Let
A
=
(
1
−
1
1
2
1
−
3
1
1
1
)
(
10
)
B
=
(
4
2
2
−
5
0
α
1
−
2
3
)
. If
B
is the inverse of matrix
A
, then
α
is
jeemain
math
past papers
2004
7
asked
Nov 5, 2018
by
pady_1
0
answers
Let
A
=
(
0
0
−
1
0
−
1
0
−
1
0
0
)
. The only correct statement about the matrix
A
is
jeemain
math
past papers
2004
6
asked
Nov 5, 2018
by
pady_1
0
answers
If
|
z
2
−
1
|
=
|
z
|
2
+
1
, then
z
lies on
jeemain
math
past papers
2004
5
asked
Nov 5, 2018
by
pady_1
0
answers
If
z
=
x
−
i
y
and
z
1
3
=
p
+
i
q
, then
(
x
p
+
y
q
)
(
p
2
+
q
2
)
is equal to
jeemain
math
past papers
2004
4
asked
Nov 5, 2018
by
pady_1
0
answers
Let
z
,
w
be complex numbers such that
¯
z
+
i
¯
w
=
0
and
a
r
g
z
w
=
π
. Then
a
r
g
z
equals
jeemain
math
past papers
2004
3
asked
Nov 5, 2018
by
pady_1
0
answers
The range of the function
f
(
x
)
=
7
−
x
P
x
−
3
is
jeemain
math
past papers
2004
2
asked
Nov 5, 2018
by
pady_1
0
answers
Let
R
=
{
(
1
,
3
)
,
(
4
,
2
)
,
(
2
,
4
)
,
(
2
,
3
)
,
(
3
,
1
)
}
be a relation on the set
A
=
{
1
,
2
,
3
,
4
}
. The relation R is
jeemain
math
past papers
2004
1
asked
Nov 5, 2018
by
pady_1
0
answers
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