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Recent questions in Sets, Relations and Functions
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>>
JEEMAIN and NEET
>>
Mathematics
>>
Sets, Relations and Functions
The value of c for which conclusion of Mean value theorem holds for the function
f
(
x
)
=
log
x
e
on the interval
[
1
,
3
]
is
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
If
→
a
×
→
b
=
c
,
→
b
×
→
c
=
→
a
and
→
c
×
→
a
=
→
b
then
(
→
a
.
→
b
×
→
c
)
+
→
b
.
(
→
c
×
→
a
)
+
→
c
.
(
→
a
×
→
b
)
is equal to
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
The Cartesian equation of the plane passing through the line of intersection of the planes.
→
r
.
(
2
ˆ
i
−
3
ˆ
j
+
4
ˆ
k
)
=
1
and
→
r
.
(
2
ˆ
i
−
ˆ
j
+
ˆ
k
)
+
8
=
0
and passing through
(
1
,
1
,
1
)
.
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
Consider the planes
3
x
−
6
y
+
2
z
+
5
=
0
and
4
x
−
12
y
+
3
z
=
3
. The plane
67
x
−
16
x
y
+
4
x
z
+
44
=
0
bisects the angle between the given planes which
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
The reflection of the point
P
(
1
,
0
,
0
)
in the
x
−
1
2
=
y
+
1
−
3
=
z
+
10
8
is
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
Equation of a plane binding the cycle between the planes
2
x
−
y
+
2
z
+
3
=
0
and
3
x
−
2
y
+
6
z
+
8
is
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
Let
P
,
Q
,
R
and
S
be the points on the plane with position vectors
−
2
ˆ
i
−
ˆ
j
,
4
ˆ
i
,
3
ˆ
i
+
3
ˆ
j
and
3
ˆ
i
+
2
ˆ
j
respectively . The quadrilateral
P
Q
R
S
must be a
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
Equation of the plane containing the straight line
x
2
=
y
3
=
z
4
and perpendicular to the plane containing the straight lines
x
3
=
y
4
=
z
2
and
x
4
=
y
2
=
z
3
is
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
The equation of the plane passing through the line of intersection of the planes
x
+
2
y
+
3
z
=
2
and
x
−
y
+
z
=
3
and at a distance
2
√
3
from the point
(
3
,
1
,
−
1
)
is
jeemain
math
sets-relations-and-functions
asked
Feb 15, 2016
by
meena.p
1
answer
The foci of an ellipse are
(
0
,
±
1
)
and minor axis is of unit length . The equation of the ellipse
jeemain
math
sets-relations-and-functions
asked
Feb 1, 2016
by
meena.p
1
answer
If
z
=
√
5
+
12
i
+
√
12
i
−
5
then the principal of org (z) can be
jeemain
math
sets-relations-and-functions
asked
Feb 1, 2016
by
meena.p
1
answer
In the expansion of
(
a
−
b
)
2
,
n
≤
5
,
the sum 5th and 6th term is zero, then
a
b
is equal to
jeemain
math
sets-relations-and-functions
asked
Feb 1, 2016
by
meena.p
1
answer
If
sin
−
1
(
x
5
)
+
c
o
s
e
c
−
1
(
5
4
)
=
π
2
, then x is
jeemain
math
sets-relations-and-functions
asked
Feb 1, 2016
by
meena.p
1
answer
Let
f
(
x
)
=
{
(
3
sin
2
(
10
x
+
11
)
−
7
)
2
}
for
x
∈
R
. Then the maximum value of the function f is
jeemain
math
sets-relations-and-functions
asked
Feb 1, 2016
by
meena.p
1
answer
If
y
=
√
e
√
x
, then
d
y
d
x
is
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
Two vertices of an equilateral triangle are
(
−
1
,
0
)
(
1
,
0
)
qand the third vertex lies above the x -axis . Then the equation of the circum circle is
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
The minimum area of triangle formed by the tangent to the ellipse
x
2
a
2
+
y
2
b
2
=
1
and coordinating axes is :
jeemain
math
conics
asked
Jan 28, 2016
by
meena.p
1
answer
If
sin
x
+
cos
y
=
1
3
and
cos
x
+
sin
y
=
1
2
, then
tan
(
x
−
y
)
2
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
The number of distinct roots of
[
sin
x
cos
x
cos
x
cos
x
sin
x
cos
x
cos
x
c
o
s
x
sin
x
]
is a
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
The inverse of the following statement If
x
=
3
,
then
x
2
=
9
is
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
The number of five digit number formed with out repetition , divisible by 6 with digits
0
,
1
,
2
,
3
,
4
,
5
is
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
Equation of a line passing through
(
−
1
,
2
,
−
3
)
and perpendicular to the place
2
x
+
3
y
+
z
+
5
=
0
is
jeemain
math
sets-relations-and-functions
asked
Jan 28, 2016
by
meena.p
1
answer
The side of a parallelogram are
2
ˆ
i
+
4
ˆ
j
−
5
ˆ
k
and
ˆ
i
+
2
ˆ
j
+
3
ˆ
k
, then the unit vector parallel to one of the diagonals is :
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
The length of the normals drawn from the point on the axis of the parabola
y
2
=
8
x
whose distance from the focus is
jeemain
math
conics
asked
Jan 27, 2016
by
meena.p
1
answer
The solution of the differential equation
d
y
d
x
=
x
y
x
2
+
y
2
is
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
If
cos
α
+
cos
β
+
cos
γ
=
0
=
sin
α
+
sin
β
+
sin
γ
then
sin
2
α
+
sin
2
β
+
sin
2
γ
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
If
A
=
[
i
−
i
−
i
i
]
and
B
=
[
1
−
1
−
1
1
]
then
A
8
equals
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
If
a
,
b
,
c
be the sides of a triangle ABC and if roots of the equation .
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
+
c
(
a
−
b
)
=
0
are equal , then
sin
2
(
A
2
)
,
sin
2
(
B
c
)
,
sin
2
(
c
2
)
are in
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
∫
d
x
(
1
+
x
2
)
√
p
2
+
q
2
(
tan
−
1
x
)
2
=
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
If
cos
−
1
x
>
sin
−
1
x
, then x lies in the interval
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
The number of equivalence relation on the set
{
1
,
2
,
3
}
containg
(
1
,
2
)
a
n
d
(
2
,
1
)
is
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
Solve :
lim
x
→
∞
[
√
x
+
√
x
+
√
x
−
√
x
]
=
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
An A.P consists of 23 terms.If the sum of the 3 terms in the middle is 141 and the sum of last 3 terms is 261, then the first term is :
jeemain
math
sets-relations-and-functions
asked
Jan 27, 2016
by
meena.p
1
answer
The variance of first 20 natural number is :
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
The value of
2
π
∫
0
x
sin
2
n
x
sin
2
n
x
+
cos
2
n
x
=
π
2
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
The solution of
6
x
4
x
−
1
<
1
2
is
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
lim
x
→
∞
(
3
x
−
4
3
x
+
2
)
x
+
1
3
=
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
The distance of the center of ellipse
x
2
+
2
y
2
−
2
=
0
to these tangent of the ellipse which are equally inclined from both the axis , is
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
There are three bags each containing 5 white balls and 2 black balls. Also there are 2 bags each containing 1 white ball and 4 black balls. A black ball is drawn at random , the chance that the ball is from the first bag is :
jeemain
math
sets-relations-and-functions
asked
Jan 22, 2016
by
meena.p
1
answer
is there any function which is continuous throughout but not differential at integral points
asked
Jun 29, 2015
by
achaudhury19
1
answer
determine whether even or odd : f(x+y)+f(x-y)=2f(x).f(y) ; where f(0) is not zero and x,y belongs to set of Real numbers
asked
Nov 27, 2014
by
harsha.wardan7
1
answer
find solutions of the equation [x][y]=x+y .
math
asked
Nov 23, 2014
by
harsha.wardan7
1
answer
If
f
:
[
1
,
∞
)
→
[
2
,
∞
)
is defined as
f
(
x
)
=
x
+
1
x
then find
f
−
1
(
x
)
.
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If
A
=
{
x
:
x
∈
R
a
n
d
x
≥
1
2
}
and
B
=
{
x
:
x
∈
R
a
n
d
x
≥
3
4
}
and
f
:
A
→
B
is defined as
f
(
x
)
=
x
2
−
x
+
1
so that
f
(
x
)
=
f
−
1
(
x
)
then the solution set of
x
is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If
A
=
{
x
:
x
∈
R
a
n
d
x
≥
1
2
}
and
B
=
{
x
:
x
∈
R
a
n
d
x
≥
3
4
}
and
f
(
x
)
=
x
2
−
x
+
1
so that
f
(
x
)
=
f
−
1
x
then the solution set of
x
is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
0
answers
If
f
:
A
→
B
,
3
f
(
x
)
+
2
−
x
=
4
and
f
(
x
)
is bijection then the domain
A
of
f
(
x
)
is ?
jeemain
math
class12
relations-and-functions
types of relations
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If
f
:
R
→
R
is defined as
f
(
x
)
=
x
2
+
1
then
f
−
1
(
x
)
= ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
If
f
:
R
→
R
is defined as
f
(
x
)
=
3
x
−
5
, then
f
−
1
(
x
)
= ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
Range of
f
(
x
)
=
x
−
[
x
]
1
+
x
−
[
x
]
where
[
x
]
is greatest integer function.
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Domain of
f
(
x
)
=
1
√
|
x
|
−
x
= ?
jeemain
math
class12
ch1
relations-and-functions
types of functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
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