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Recent questions in Mathematics
Questions
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JEEMAIN and NEET
>>
Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
Integrate :
∫
cos
−
1
√
x
a
+
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
difficult
q223
asked
Jan 2, 2014
by
meena.p
1
answer
f
(
x
)
=
sin
−
1
(
2
x
1
+
x
2
)
is differentiable on
jeemain
math
unit8
limits-continuity-and-differentiability
medium
q137
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If
a
,
b
,
c
are in
A
P
and
a
2
,
b
2
,
c
2
are in
H
P
, how are
a
,
b
and
−
c
2
related?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q31
asked
Jan 2, 2014
by
yamini.v
1
answer
If
(
2
+
sin
x
1
+
y
)
d
y
d
x
=
−
cos
x
,
y
(
0
)
=
1
then
y
(
π
2
)
=
jeemain
math
unit8
limits-continuity-and-differentiability
medium
q136
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If
lim
x
→
0
(
(
a
−
n
)
n
x
−
tan
x
)
sin
n
x
x
2
=
0
where
n
is a non zero real number, then
a
is equal to
jeemain
math
unit8
limits-continuity-and-differentiability
medium
q135
asked
Jan 2, 2014
by
sreemathi.v
1
answer
Which of the following function is differentiable at
x
=
0
?
jeemain
math
unit8
limits-continuity-and-differentiability
medium
q134
asked
Jan 2, 2014
by
sreemathi.v
1
answer
Let
f
:
(
0
,
∞
)
→
R
and
f
(
x
)
=
∫
x
0
f
(
t
)
d
t
if
f
(
x
2
)
=
x
2
(
1
+
x
)
then f(4) equals
jeemain
math
ch7
integrals
antiderivatives
medium
q133
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If the
i
t
h
,
j
t
h
a
n
d
k
t
h
term of an AP and a GP are equal and are
x
,
y
,
z
find the value of
x
(
y
−
z
)
.
y
(
z
−
x
)
.
z
(
x
−
y
)
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q30
asked
Jan 2, 2014
by
yamini.v
1
answer
Suppose
f
:
R
→
R
is a differentiable function and
f
(
1
)
=
4
.Then value of
lim
x
→
1
f
(
x
)
∫
4
2
t
x
−
1
d
t
is
jeemain
math
ch7
integrals
definite integrals
medium
q132
asked
Jan 2, 2014
by
sreemathi.v
1
answer
lim
x
→
0
(
x
2
+
5
x
+
3
x
2
+
x
+
2
)
x
=
jeemain
math
ch13
limits and derivatives
introduction to limits
medium
q131
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If a
ξ
b
are two positive integers,x is their AM and
y
ξ
z
are two GMs then calculate the value of
y
3
+
z
3
x
y
z
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q29
asked
Jan 2, 2014
by
yamini.v
1
answer
lim
n
→
∞
[
1
1
−
n
2
+
2
1
−
n
2
+
.
.
.
.
.
.
.
.
.
.
+
n
1
−
n
2
]
is
jeemain
maths
ch7
integrals
definite integrals as limit of sum
medium
q130
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If the harmonic mean H and geometric mean G of two positive numbers a and b are in ratio 3:5, then a and b are in the ratio
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q28
asked
Jan 2, 2014
by
yamini.v
1
answer
lim
x
→
0
2
x
−
1
√
1
+
x
−
1
=
jeemain
math
ch13
limits and derivatives
introduction to limits
medium
q129
asked
Jan 2, 2014
by
sreemathi.v
1
answer
In a triangle
△
A
B
C
,a,b,c are its sides ,A,B
ξ
C are its angles, if
cot
A
,
cot
B
ξ
cot
C
are in AP , the a,b, and c are in which progression?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q27
asked
Jan 2, 2014
by
yamini.v
1
answer
In order that the function
f
(
x
)
=
(
x
+
1
)
cot
x
is continuous at
x
=
0
. f(0) must be defined as
jeemain
math
ch5
continuity-and-differentiability
continuity
medium
q128
asked
Jan 2, 2014
by
sreemathi.v
1
answer
lim
x
→
1
[
sec
(
π
x
2
)
log
x
]
is
jeemain
maths
ch13
limits and derivatives
limits-of-trigonometric-functions
medium
q127
asked
Jan 2, 2014
by
sreemathi.v
1
answer
An infinite GP has its first term as x and sum is 6 , then which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q26
asked
Jan 2, 2014
by
yamini.v
1
answer
If
f
is twice differentiable and
f
″
(
0
)
=
2
then
lim
x
→
0
2
f
(
x
)
−
3
f
(
2
x
)
+
f
(
4
x
)
x
2
=
jeemain
math
ch5
continuity-and-differentiability
differentiability
edium
q126
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q25
asked
Jan 2, 2014
by
yamini.v
1
answer
If the
4
t
h
term of a GP is the square of its second term and the first term is -2. Find the
7
t
h
term of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q24
asked
Jan 2, 2014
by
yamini.v
1
answer
lim
x
→
0
(
1
+
x
)
1
/
x
−
e
x
is
jeemain
math
ch13
limits and derivatives
introduction to limits
medium
q125
asked
Jan 2, 2014
by
sreemathi.v
1
answer
Given that a,b
ξ
c are in AP,which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q23
asked
Jan 2, 2014
by
yamini.v
1
answer
lim
x
→
0
+
x
m
(
log
x
)
n
,
(
m
,
n
∈
N
)
is
jeemain
math
ch13
limits and derivatives
introduction to limits
medium
q124
asked
Jan 2, 2014
by
sreemathi.v
1
answer
The value of
lim
n
→
∞
x
[
tan
−
1
x
+
1
x
+
2
−
cot
−
1
x
+
2
x
]
is
jeemain
math
ch13
limits and derivatives
limits-of-trigonometric-functions
medium
q123
asked
Jan 2, 2014
by
sreemathi.v
1
answer
If
f
(
x
)
=
{
1
−
cos
λ
x
x
sin
x
x
≠
0
1
2
x
=
0
is continuous at
x
=
0
then
λ
is
jeemain
math
ch5
continuity-and-differentiability
continuity
medium
q122
asked
Jan 2, 2014
by
sreemathi.v
1
answer
The equation of the plane whose foot of
⊥
drawn from origin is
(
1
,
2
,
1
)
. is?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q42
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane that meets the coordinated axis at the points
A
,
B
,
C
respectively so that the centroid of the
Δ
A
B
C
is
(
α
,
β
,
γ
)
is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q41
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
The direction ratio of the line
3
x
+
1
=
6
y
−
2
,
z
=
1
is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q40
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q22
asked
Jan 1, 2014
by
yamini.v
1
answer
The point on the line
→
r
=
(
−
2
ˆ
i
−
ˆ
j
+
3
ˆ
k
)
+
λ
(
3
ˆ
i
+
2
ˆ
j
+
2
ˆ
k
)
which is at a distance of
3
√
2
units from the point
(
1
,
2
,
3
)
is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q39
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
Find n such that is
512
729
is the nth term of the GP 18,-12,8,-----------------
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q21
asked
Jan 1, 2014
by
yamini.v
1
answer
The equation of a line that are equally inclined with the coordinate axis and and which passes through
(
−
1
,
2
,
3
)
is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q38
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
The angle between the lines whose
d
.
c
.
are given by the equations
3
l
+
m
+
5
n
=
0
and
6
m
n
−
2
n
l
+
5
l
m
=
0
is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
difficult
q37
asked
Jan 1, 2014
by
rvidyagovindarajan_1
1
answer
Find n where 1536 is the nth term of the series 3,6,12---------------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q20
asked
Jan 1, 2014
by
yamini.v
1
answer
What are next two terms of the GP
√
2
,
1
/
√
2
,
1
/
2
√
2
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q19
asked
Jan 1, 2014
by
yamini.v
1
answer
The equation of the line through the point
(
1
,
2
,
3
)
and
⊥
to the plane
→
r
.
(
ˆ
i
+
2
ˆ
j
−
5
ˆ
k
)
+
9
=
0
is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q36
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
The equation of the line through the point
(
1
,
1
,
3
)
and parallel to the planes
→
r
.
(
ˆ
i
−
ˆ
j
+
2
ˆ
k
)
=
5
and
→
r
.
(
3
ˆ
i
+
ˆ
j
+
ˆ
k
)
=
6
is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q35
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
The line
x
−
2
3
=
y
−
3
4
=
z
−
4
5
is parallel to the which of the following?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
easy
q34
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
Integrate:
∫
cos
−
1
(
−
3
x
+
4
x
3
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q222
asked
Dec 31, 2013
by
meena.p
1
answer
Integrate :
∫
x
(
sec
2
x
−
1
sec
2
x
+
1
)
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
easy
q221
asked
Dec 31, 2013
by
meena.p
1
answer
If a line makes angle
α
,
β
,
γ
with
x
−
a
x
i
s
,
y
−
a
x
i
s
a
n
d
z
−
a
x
i
s
respectively, then
s
i
n
2
α
+
s
i
n
2
β
+
s
i
n
2
γ
=
?
math
class12
ch11
3d-geometry
equations-of-lines
easy
q33
jeemain
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
Integrate :
∫
log
a
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q220
asked
Dec 31, 2013
by
meena.p
1
answer
Integrate :
∫
1
5
−
4
sin
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
medium
q219
asked
Dec 31, 2013
by
meena.p
1
answer
The angle between the planes
3
x
+
4
y
+
5
z
=
3
and
4
x
−
3
y
+
5
z
=
2
is ?
jeemain
math
class12
ch14
3d-geometry
equations-of-planes
easy
q32
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
The angle between the lines
2
−
x
1
=
y
2
=
z
+
3
1
a
n
d
x
−
4
4
=
y
−
1
1
=
z
−
5
2
is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q31
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
If the planes
x
=
c
y
+
b
z
,
y
=
a
z
+
c
x
,
z
=
b
x
+
a
y
pass through a line then
a
2
+
b
2
+
c
2
+
2
a
b
c
=
?
jeemain
math
class12
ch14
3d-geometry
difficult
q30$
asked
Dec 31, 2013
by
rvidyagovindarajan_1
1
answer
Integrate :
∫
1
√
3
2
sin
x
+
cos
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-using-partial-fractions
medium
q218
asked
Dec 31, 2013
by
meena.p
1
answer
Integrate :
∫
sin
4
x
√
8
+
sin
4
2
x
d
x
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q217
asked
Dec 31, 2013
by
meena.p
1
answer
If both the roots of the quadratic equation
(
b
−
c
)
x
2
+
(
c
−
a
)
x
+
(
a
−
b
)
=
0
are equal. Then
a
,
b
,
c
are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q18
asked
Dec 31, 2013
by
yamini.v
1
answer
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