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Recent questions in Class12
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JEEMAIN and NEET
>>
Mathematics
>>
Class12
Class12
Relations and Functions
Inverse Trigonometric Functions
Matrices
Determinants
Continuity and Differentiability
Application of Derivatives
Integral Calculus
Application of Integrals
Differential Equations
Vector Algebra
3-D Geometry
Probability
If position vector of the points
A
,
B
,
C
,
D
are given by
7
ˆ
i
−
4
ˆ
j
+
7
ˆ
k
,
ˆ
i
−
6
ˆ
j
+
10
ˆ
k
,
−
ˆ
i
−
3
ˆ
j
+
4
ˆ
k
a
n
d
5
ˆ
i
−
ˆ
j
+
5
ˆ
k
respectively, then
A
B
C
D
is ?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q103
asked
Dec 30, 2013
by
rvidyagovindarajan_1
1
answer
The length of median through
A
of the
Δ
A
B
C
where
→
A
B
=
3
ˆ
i
+
4
ˆ
k
a
n
d
→
A
C
=
5
ˆ
i
−
2
ˆ
j
+
4
ˆ
k
is ?
jeemain
math
class12
ch10
vector-algebra
easy
q102
addition-of-vectors
scalar -product
mock
asked
Dec 30, 2013
by
rvidyagovindarajan_1
1
answer
Integrate :
∫
x
.2
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q194
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
1
+
tan
2
x
1
+
tan
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q193
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
5
8
.
x
.
e
x
2
.
sec
(
e
x
2
)
.
tan
(
e
x
2
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q192
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
√
1
+
sin
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q191
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
sin
−
1
x
(
1
−
x
2
)
3
/
2
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q190
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
sin
x
+
cos
x
√
sin
2
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q189
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
cos
2
x
sin
2
x
cos
2
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q188
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
1
−
x
sin
x
+
cos
x
x
(
1
−
cos
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q187
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
sec
x
c
o
s
e
c
x
log
(
tan
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
easy
integration-by-subsitution
q186
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
√
1
−
x
1
+
x
.
1
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q185
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
√
tan
θ
.
d
θ
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q184
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate
1
∫
0
tan
−
1
(
x
2
+
1
−
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q183
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
π
/
2
∫
0
(
θ
sin
θ
)
2
.
d
θ
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q182
asked
Dec 30, 2013
by
meena.p
1
answer
Integrate :
∫
√
x
1
+
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q181
asked
Dec 30, 2013
by
meena.p
1
answer
The vector
→
a
=
α
ˆ
i
+
2
ˆ
j
+
β
ˆ
k
lies in the plane of the vectors
→
b
=
ˆ
i
+
ˆ
j
and
→
c
=
ˆ
j
+
ˆ
k
and bisects the angle between
→
b
a
n
d
→
c
, then
(
α
,
β
)
=
?
jeemain
math
class12
ch10
vector-algebra
difficult
addition-of-vectors
q101
asked
Dec 29, 2013
by
rvidyagovindarajan_1
1
answer
Integrate :
∫
√
x
2
+
1
log
(
x
2
+
1
)
−
2
log
x
x
4
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q180
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
√
e
x
−
1
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q179
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate:
∫
√
x
a
3
−
x
3
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q178
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
x
2
(
x
sin
x
+
cos
x
)
2
d
x
jeemain
math
class12
unit9
integral-calculus
difficult
q177
asked
Dec 24, 2013
by
meena.p
0
answers
Integrate :
∫
e
x
(
2
+
sin
2
x
1
+
cos
2
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q176
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
e
x
[
cot
x
+
log
sin
x
]
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q175
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
cos
(
log
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q174
asked
Dec 24, 2013
by
meena.p
1
answer
∫
x
sin
x
cos
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q173
asked
Dec 24, 2013
by
meena.p
1
answer
Intergate :
∫
√
x
+
a
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q172
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
sec
4
x
√
tan
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q171
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
1
x
+
√
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q170
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
e
x
(
a
e
x
+
b
)
n
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q169
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
6
7
.
e
√
x
.
cos
(
e
√
x
)
√
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q168
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
log
[
x
+
√
1
+
x
2
]
√
1
−
x
2
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q167
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
4
9
.
x
3
/
2
.
sin
(
x
)
5
/
2
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q166
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
√
1
+
sin
4
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q165
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
1
sin
(
x
−
a
)
cos
(
x
−
b
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q164
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
tan
x
tan
2
x
tan
3
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
difficult
q163
asked
Dec 24, 2013
by
meena.p
1
answer
Intergate :
∫
5
7
√
cos
(
7
x
)
.
sin
7
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q162
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
a
x
a
−
1
+
a
x
log
a
x
a
+
a
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q161
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
7
9
×
e
tan
−
1
(
x
4
)
(
1
+
x
8
)
×
x
3
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q160
asked
Dec 24, 2013
by
meena.p
1
answer
integrate :
∫
(
x
3
−
1
)
1
3
.
x
5
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q159
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
cos
3
x
sin
2
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q158
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
7
9
x
3
/
2
tan
5
(
x
5
/
2
)
sec
2
(
x
5
/
2
)
.
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q157
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
e
log
(
sin
x
)
cos
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q156
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
5
x
2
tan
2
(
6
x
3
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q155
asked
Dec 24, 2013
by
meena.p
1
answer
Integrate :
∫
1
√
2
x
−
3
−
√
2
x
+
1
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q154
asked
Dec 24, 2013
by
meena.p
1
answer
f
′
(
x
)
=
a
c
o
s
x
+
b
sin
x
;
f
′
(
0
)
=
4
;
f
(
0
)
=
3
;
f
(
π
2
)
=
5
find the value of
f
(
x
)
=
?
jeemain
math
class12
ch7
integral-calculus
fundamental-theorem-of-calculus
easy
q153
asked
Dec 24, 2013
by
meena.p
1
answer
If
f
′
(
x
)
=
2
x
−
3
x
2
and
f
(
0
)
=
4
;
find
f
(
x
)
=?
jeemain
math
class12
unit9
integral-calculus
easy
q152
asked
Dec 23, 2013
by
meena.p
0
answers
Integrate :
∫
√
x
(
6
x
4
+
2
(
x
)
3
/
2
+
8
√
x
)
d
x
jeemain
math
class12
ch7
integral-calculus
integrals-as-an-anti-derivative
easy
q151
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate :
∫
6
cos
(
log
(
3
x
)
+
1
)
7
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q150
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate :
∫
√
2
x
2
−
5
x
+
6
d
x
jeemain
math
class12
ch7
integral-calculus
integrals-as-an-anti-derivative
easy
q149
asked
Dec 23, 2013
by
meena.p
1
answer
Integrate :
∫
log
e
tan
−
1
(
3
x
)
4
(
1
+
g
x
2
)
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q148
asked
Dec 23, 2013
by
meena.p
1
answer
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