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Recent questions and answers in 2002
Questions
>>
JEEMAIN and NEET
>>
JEEMAIN PAST PAPERS
>>
2002
In a
Δ
A
B
C
,
tan
A
2
=
5
6
,
tan
C
2
=
2
5
, then :
jeemain
math
past papers
2002
217
answered
Jun 2, 2020
by
tharunkona111
1
answer
A light string passing over a smooth light pulley connects two blocks of masses
m
1
and
m
2
(vertically). If the acceleration of the system is
g
/
8
, then the ratio of the masses is :
jeemain
physics
past papers
2002
66
answered
Apr 4, 2020
by
harshitha1810reddy
1
answer
Wires 1 and 2 carrying currents
i
1
and
i
2
respectively are inclined at an angle
θ
to each other. What is the force on a small element
d
l
of wire 2 at a distance
r
from wire 1 (as shown in figure) due to the magnetic field of wire 1 ?<br>
jeemain
physics
past papers
2002
71
answered
Aug 20, 2019
by
ankitchaahat
1
answer
One end of massless rope, which passes over a massless and frictionless pulley
P
is tied to a hook
C
while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of maximum safe acceleration (in
m
s
−
2
) can a man of 60 kg climb on the rope ? <br>
jeemain
physics
past papers
2002
69
answered
Aug 13, 2019
by
sourabhm2001
1
answer
Identify the pair whose dimension are equal :
jeemain
physics
past papers
2002
29
cbse11
ch1
units-and-measurement
answered
Jul 1, 2019
by
meena.clay6
1
answer
For the following reaction in gaseous phase : <br>
C
O
+
1
2
O
2
→
C
O
2
K
c
/
K
p
is :
jeemain
chemistry
past papers
2002
123
asked
Dec 11, 2018
by
pady_1
0
answers
The number of real roots of
3
2
x
2
−
7
x
+
7
=
9
is :
jeemain
math
past papers
2002
225
asked
Dec 11, 2018
by
pady_1
0
answers
If
|
x
|
<
1
, then the coefficient of
x
n
in expansion of
(
1
+
x
+
x
2
+
x
3
+
.
.
.
)
2
is :
jeemain
math
past papers
2002
224
asked
Dec 11, 2018
by
pady_1
0
answers
The coefficient of
x
5
in
(
1
+
2
x
+
3
x
2
+
.
.
.
.
)
−
3
/
2
is :
jeemain
math
past papers
2002
223
asked
Dec 11, 2018
by
pady_1
0
answers
e
(
x
−
1
)
−
1
2
(
x
−
1
)
2
+
(
x
−
1
)
3
3
−
(
x
−
1
)
4
4
+
.
.
.
equal to :
jeemain
math
past papers
2002
222
asked
Dec 11, 2018
by
pady_1
0
answers
∞
lim
n
=
0
(
log
e
x
)
n
n
!
is equal to
jeemain
math
past papers
2002
221
asked
Dec 11, 2018
by
pady_1
0
answers
tan
−
1
(
1
4
)
+
tan
−
1
(
2
9
)
is equal to :
jeemain
math
past papers
2002
220
asked
Dec 11, 2018
by
pady_1
0
answers
If
α
is a root of
25
cos
2
θ
+
5
cos
θ
−
12
=
0
π
2
<
α
<
π
, then
sin
2
α
is equal to :
jeemain
math
past papers
2002
219
asked
Dec 11, 2018
by
pady_1
0
answers
The equation
a
sin
x
+
b
cos
x
=
c
where
|
c
|
>
√
a
2
+
b
2
has :
jeemain
math
past papers
2002
218
asked
Dec 11, 2018
by
pady_1
0
answers
In a triangle
A
B
C
,
a
=
4
,
b
=
3
,
∠
A
=
60
∘
, then
c
is the root of the equation :
jeemain
math
past papers
2002
216
asked
Dec 11, 2018
by
pady_1
0
answers
If
y
=
sin
2
θ
+
c
o
s
e
c
2
θ
,
θ
≠
0
, then :
jeemain
math
past papers
2002
215
asked
Dec 11, 2018
by
pady_1
0
answers
If
sin
(
α
+
β
)
=
1
,
sin
(
α
−
β
)
=
1
2
, then
tan
(
α
+
2
β
)
tan
(
2
α
+
β
)
is equal to :
jeemain
math
past papers
2002
214
asked
Dec 11, 2018
by
pady_1
0
answers
If
tan
θ
=
−
4
3
, then
sin
θ
is :
jeemain
math
past papers
2002
213
asked
Dec 11, 2018
by
pady_1
0
answers
The value of
1
−
tan
2
15
∘
1
+
tan
2
15
∘
is :
jeemain
math
past papers
2002
212
asked
Dec 11, 2018
by
pady_1
0
answers
The centre of the circle given by
→
r
.
(
ˆ
i
+
2
ˆ
j
+
2
ˆ
k
)
=
15
and
|
→
r
−
(
ˆ
j
+
2
ˆ
k
)
|
=
4
is :
jeemain
math
past papers
2002
211
asked
Dec 11, 2018
by
pady_1
0
answers
If the vectors
→
a
=
x
ˆ
i
+
y
ˆ
j
+
z
ˆ
k
and such that
→
a
,
→
c
and
→
b
form a right handed system, then
→
c
is :
jeemain
math
past papers
2002
210
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the chord joining two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
on the rectangular hyperbola
x
y
=
c
2
is :
jeemain
math
past papers
2002
209
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the ellipse whose foci are
(
±
2
,
0
)
and eccentricity is
1
/
2
is :
jeemain
math
past papers
2002
208
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the tangent to the circle
x
2
+
y
2
+
4
x
−
4
y
+
4
=
0
which make equal intercepts on the positive co-ordinate axes, is :
jeemain
math
past papers
2002
207
asked
Dec 11, 2018
by
pady_1
0
answers
The greatest distance of the point
P
(
10
,
7
)
from the circle
x
2
+
y
2
−
4
x
−
2
y
−
20
=
0
is :
jeemain
math
past papers
2002
206
asked
Dec 11, 2018
by
pady_1
0
answers
A straight line through the point
(
2
,
2
)
intersects the lines
√
3
x
+
y
=
0
and
√
3
x
−
y
=
0
at the points A and B. The equation to the line AB so that the OAB is equilateral, is :
jeemain
math
past papers
2002
205
asked
Dec 11, 2018
by
pady_1
0
answers
Three straight lines
2
x
+
11
y
−
5
=
0
,
24
x
+
7
y
−
20
=
0
and
4
x
−
3
y
−
2
=
0
:
jeemain
math
past papers
2002
204
asked
Dec 11, 2018
by
pady_1
0
answers
Let
f
(
2
)
=
4
and
f
′
(
2
)
=
4
. Then
lim
x
→
2
x
f
(
2
)
−
2
f
(
x
)
x
−
2
is given by :
jeemain
math
past papers
2002
203
asked
Dec 11, 2018
by
pady_1
0
answers
A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is :
jeemain
math
past papers
2002
202
asked
Dec 11, 2018
by
pady_1
0
answers
A biased coin with probability
p
,
0
<
p
<
1
, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even, is
2
/
5
, then
p
equals :
jeemain
math
past papers
2002
201
asked
Dec 11, 2018
by
pady_1
0
answers
If
(
ω
≠
1
)
is a cubic root of unity, then
|
1
1
+
i
+
ω
2
ω
2
1
−
i
−
1
ω
2
−
1
−
i
−
1
+
ω
−
i
−
1
|
equals :
jeemain
math
past papers
2002
200
asked
Dec 11, 2018
by
pady_1
0
answers
The probability of India winning a test match against West-Indies is
1
/
2
assuming independence from match to match. The probability that in a match series India's second win occurs at the test is :
jeemain
math
past papers
2002
199
asked
Dec 11, 2018
by
pady_1
0
answers
The radius of the circle passing through the foci of the ellipse
x
2
16
+
y
2
9
=
1
and having its centre at
(
0
,
3
)
, is :
jeemain
math
past papers
2002
198
asked
Dec 11, 2018
by
pady_1
0
answers
sin
2
θ
=
4
x
y
(
x
+
y
)
2
is true if and only is :
jeemain
math
past papers
2002
197
asked
Dec 11, 2018
by
pady_1
0
answers
If
|
6
i
−
3
i
1
4
3
i
−
1
20
3
i
|
=
x
+
i
y
, then :
jeemain
math
past papers
2002
196
asked
Dec 11, 2018
by
pady_1
0
answers
If
ω
is an imaginary cube root of unity, then
(
1
+
ω
−
ω
2
)
7
equals :
jeemain
math
past papers
2002
195
asked
Dec 11, 2018
by
pady_1
0
answers
If the vectors
→
a
,
→
b
and
→
c
from the sides
B
C
,
C
A
and
A
B
respectively of a triangle
A
B
C
, then :
jeemain
math
past papers
2002
194
asked
Dec 11, 2018
by
pady_1
0
answers
The incentre of the triangle with vertices
(
1
,
√
3
)
,
(
0
,
0
)
and
(
2
,
0
)
is :
jeemain
math
past papers
2002
193
asked
Dec 11, 2018
by
pady_1
0
answers
For
x
∈
R
,
lim
x
→
∞
(
x
−
3
x
+
2
)
x
is equal to :
jeemain
math
past papers
2002
192
asked
Dec 11, 2018
by
pady_1
0
answers
In a triangle ABC,
2
c
a
sin
A
−
B
+
C
2
is equal to :
jeemain
math
past papers
2002
191
asked
Dec 11, 2018
by
pady_1
0
answers
Let
T
n
denote the number of triangles which can be formed using the vertices of a regular polygon of
n
sides. If
T
n
+
1
−
T
n
=
21
, then
n
equals :
jeemain
math
past papers
2002
190
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the directrix of the parabola
y
2
+
4
y
+
4
x
+
2
=
0
is :
jeemain
math
past papers
2002
189
asked
Dec 11, 2018
by
pady_1
0
answers
If A and B are two mutually exclusive events, then :
jeemain
math
past papers
2002
188
asked
Dec 11, 2018
by
pady_1
0
answers
A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a prize. The probability that they will not win a prize in a single trial, is :
jeemain
math
past papers
2002
187
asked
Dec 11, 2018
by
pady_1
0
answers
The equation of the plane containing the line
x
−
x
1
l
=
y
−
y
1
m
=
z
−
z
1
n
is
a
(
x
−
x
1
)
+
b
(
y
−
y
1
)
+
c
(
z
−
z
1
)
=
0
, where :
jeemain
math
past papers
2002
186
asked
Dec 11, 2018
by
pady_1
0
answers
A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7) parallel to the co-ordinate planes. The length of a diagonal to the parallelopiped is :
jeemain
math
past papers
2002
185
asked
Dec 11, 2018
by
pady_1
0
answers
The vector
ˆ
i
+
x
ˆ
j
+
3
ˆ
k
is rotated through an angle
θ
and doubled in magnitude, then it becomes
4
ˆ
i
+
(
4
x
−
2
)
ˆ
j
+
2
ˆ
k
. The value of
x
are :
jeemain
math
past papers
2002
184
asked
Dec 11, 2018
by
pady_1
0
answers
Given two vectors are
ˆ
i
−
ˆ
j
and
ˆ
i
+
2
ˆ
j
the unit vector coplanar with the two vectors and perpendicular to first is :
jeemain
math
past papers
2002
183
asked
Dec 11, 2018
by
pady_1
0
answers
The differential equation of all non-vertical lines in a plane is :
jeemain
math
past papers
2002
182
asked
Dec 11, 2018
by
pady_1
0
answers
The area bounded by the curve
y
=
2
x
−
x
2
and the straight line
y
=
−
x
is given by :
jeemain
math
past papers
2002
181
asked
Dec 11, 2018
by
pady_1
0
answers
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