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Recent questions in Class11
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
Complex Numbers and Quadratic Equations
Permutations and Combinations
Bionomial Theorem and Simple Applications
Sequence and Series
Coordinate Geometry: Straight Lines
Coordinate Geometry: Conic Sections
Coordinate Geometry
3-D Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
The equation
z
2
=
¯
z
has how many solutions ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 16, 2013
by
rvidyagovindarajan_1
1
answer
The integral solution of the equation
(
1
−
i
)
x
=
2
x
is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
The complex number
z
satisfying the equation
a
r
g
(
z
−
1
z
+
1
)
=
π
4
represents ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
If
a
r
g
(
z
)
<
0
, then
a
r
g
(
−
z
)
−
a
r
g
(
z
)
= ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
If the complex numbers
s
i
n
x
+
i
c
o
s
2
x
and
c
o
s
x
−
i
s
i
n
2
x
are conjugate to each other, then
x
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
z
+
¯
z
=
0
if and only if
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 15, 2013
by
rvidyagovindarajan_1
1
answer
If the ratio of the roots of
a
x
2
+
b
x
+
c
=
0
is equal to the ratio of the roots of
p
x
2
+
q
x
+
r
=
0
and if
D
1
,
D
2
are their discriminants respectively, then
D
1
:
D
2
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 14, 2013
by
rvidyagovindarajan_1
1
answer
If the roots of the equation
x
2
−
4
x
−
l
o
g
3
a
=
0
are real, then the least value of
a
is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 14, 2013
by
rvidyagovindarajan_1
1
answer
If the roots of the equation
x
3
+
b
x
2
+
c
x
−
1
=
0
form an increasing G.P., then
b
lies in which interval?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 13, 2013
by
rvidyagovindarajan_1
1
answer
If
z
1
a
n
d
z
2
are non zero complex numbers such that
|
z
1
+
z
2
|
=
|
z
1
|
+
|
z
2
|
, then
a
r
g
z
1
−
a
r
g
z
2
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 12, 2013
by
rvidyagovindarajan_1
1
answer
If
ω
is the cube root of unity then the value of
a
ω
+
b
+
c
ω
2
a
ω
2
+
b
ω
+
c
+
a
ω
2
+
b
+
c
ω
a
+
b
ω
+
c
ω
2
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 12, 2013
by
rvidyagovindarajan_1
1
answer
Find the value of
√
i
.
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 11, 2013
by
rvidyagovindarajan_1
1
answer
If
x
+
i
y
=
a
+
i
b
a
−
i
b
, then the value of
x
2
+
y
2
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 11, 2013
by
rvidyagovindarajan_1
1
answer
The least positive integer
n
so that
(
1
+
i
1
−
i
)
n
=
1
is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 11, 2013
by
rvidyagovindarajan_1
1
answer
If
(
a
1
+
i
b
1
)
(
a
2
+
i
b
2
)
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
(
a
n
+
i
b
n
)
=
c
+
i
d
then what is the value of
t
a
n
−
1
b
1
a
1
+
t
a
n
−
1
b
2
a
2
+............................
t
a
n
−
1
b
n
a
n
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 9, 2013
by
rvidyagovindarajan_1
1
answer
If
z
1
a
n
d
z
2
are two complex numbers such that
|
z
1
+
z
2
|
=
|
z
1
|
+
|
z
2
|
, then
a
r
g
z
1
−
a
r
g
z
2
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 8, 2013
by
rvidyagovindarajan_1
1
answer
If
z
is a complex number where
1
+
z
+
z
2
=
0
, then the value of
(
z
+
1
z
)
2
+
(
z
2
+
1
z
2
)
2
+
(
z
3
+
1
z
3
)
2
+
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
(
z
6
+
1
z
6
)
2
= ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 5, 2013
by
rvidyagovindarajan_1
1
answer
The complex number
z
is such that
|
z
|
=
1
,
z
≠
1
a
n
d
w
=
|
z
−
1
z
+
1
|
.
Then the real part of
w
is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 5, 2013
by
rvidyagovindarajan_1
1
answer
Find the value of
∑
200
n
=
1
i
n
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 4, 2013
by
rvidyagovindarajan_1
1
answer
The area of the triangle with vertices
z
,
i
z
a
n
d
−
i
z
is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 4, 2013
by
rvidyagovindarajan_1
1
answer
The complex number
z
, satisfying the equation
|
z
−
5
i
z
+
5
i
|
=
1
lies on?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
easy
asked
Jul 4, 2013
by
rvidyagovindarajan_1
1
answer
The number of complex numbers
z
such that
|
z
−
1
|
=
|
z
+
1
|
=
|
z
−
i
|
is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 3, 2013
by
rvidyagovindarajan_1
1
answer
If
ω
(
≠
1
)
is a cube root of unity and
(
1
+
ω
)
7
=
A
+
B
ω
, then
(
A
,
B
)
=
?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 3, 2013
by
rvidyagovindarajan_1
1
answer
If the conjugate of a complex number is
1
i
−
1
,
then the complex number is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 3, 2013
by
rvidyagovindarajan_1
1
answer
For any complex number
z
the minimum value of
|
z
|
+
|
z
−
1
|
is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 2, 2013
by
rvidyagovindarajan_1
1
answer
The number of solutions of the equation
z
2
+
¯
z
=
0
is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 2, 2013
by
rvidyagovindarajan_1
1
answer
If
P
=
{
x
:
s
i
n
x
−
c
o
s
x
=
√
2
c
o
s
x
}
and
Q
=
{
x
:
s
i
n
x
+
c
o
s
x
=
√
2
s
i
n
x
}
then which of the following is true ?
jeemain
math
class11
ch1
set
venn
diagrams
and
operations
on
sets
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The set of poor students of a class"?
jeemain
math
class11
modelpaper
ch1
sets
types
of
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Find the value of
ϕ
′
jeemain
math
class11
ch1
sets
subsets
powersets
and
universal
set
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If
n
(
A
×
B
)
=
8
,
then how many possible values are there for
n
(
A
)
?
jeemain
math
class11
ch1
sets
subsets
powersets
and
universalsets
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The collection of novels written by Munshi Premchand" ?
jeemain
math
class11
ch1
sets
types of sets
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If
2
x
+
2
f
(
x
)
=
2
, then find the domain of
f
(
x
)
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If
f
(
x
)
is polynomial and
f
(
x
)
.
f
(
1
x
)
=
f
(
x
)
+
f
(
1
x
)
and
f
(
3
)
=
28
then find
f
(
4
)
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If
f
(
x
)
=
c
o
s
l
o
g
x
then
f
(
x
2
)
.
f
(
y
2
)
−
1
2
(
f
(
x
2
y
2
)
+
f
(
x
2
y
2
)
)
=
?
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
What is range of
f
(
x
)
=
7
−
x
P
x
−
3
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If
f
:
Z
→
Z
is defined as
f
(
x
)
=
x
2
+
a
x
+
b
then the values of
a
and
b
are ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
The Domain of
f
(
x
)
=
7
−
x
P
x
−
3
is ?
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
A
∩
(
A
∪
B
)
= ?
jeemain
math
class11
ch1
sets
operation-on-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If
f
(
x
)
=
4
x
4
x
+
2
then which among the following is correct ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Which of the given functions is an odd function ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
If
S
1
=
{
1
,
2
,
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.20
}
,
S
2
=
{
a
,
b
,
c
,
d
,
e
}
,
S
3
=
{
a
,
c
,
e
,
f
}
, then no. of elements of
(
S
1
×
S
2
)
∩
(
S
1
×
S
3
)
is ?
jeemain
math
class11
ch1
sets
powersets
subsets
and
universal
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
The set that cannot be represented by roster form is:
jeemain
math
class11
ch1
sets
types
of
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
How is Null set represented in set builder form ?
jeemain
math
class11
ch1
sets
types
of
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If
A
∩
B
=
B
then what can you say about
A
and
B
?
jeemain
math
class11
ch1
sets
operation
on
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If
A
∪
B
=
A
,
then what can you say about
A
and
B
?
jeemain
math
class11
ch1
sets
operation
on
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
Range of
f
(
x
)
=
|
x
|
x
is ?
jeemain
math
class11
ch2
relations-and-functions
function
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
Domain of
y
=
l
o
g
(
1
+
x
)
is ?
jeemain
math
class11
ch2
relations-and-functions
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If
A
,
B
a
n
d
C
are three finite sets, then
[
(
A
∪
B
)
∩
C
]
′
= ?
jeemain
math
class11
ch1
sets
sec-a
easy
asked
May 15, 2013
by
rvidyagovindarajan_1
1
answer
How many proper subsets are there for a set having 5 elements ?
jeemain
math
class11
ch1
sets
sec-a
easy
asked
May 15, 2013
by
rvidyagovindarajan_1
1
answer
If
V
=
{
x
:
x
+
2
=
0
}
,
R
=
{
x
:
x
2
+
2
x
=
0
}
and
S
=
{
x
:
x
2
+
x
−
2
=
0
}
, then for what value of
x
,
V
=
R
=
S
?
jeemain
math
class11
ch1
sets
sec-a
easy
asked
May 15, 2013
by
rvidyagovindarajan_1
1
answer
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