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iit jee
| 2010
Solutions for all the questions from iit jee
of year 2010
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2010
SUBJECT
math
maths
class 11
Maths
Algebra
Mathematical Reasoning
Let S be a non-empty subset of R. Consider the following statement:P: There is a rational number
x
∈
S
such that
x
>
0
.Which of the following statements is the negation of the statement P ? There is no rational number
x
∈
S
such that
x
≤
0
(9) Every rational number
x
∈
S
satisfies
x
≤
0
(18)
x
∈
S
and
x
≤
0
⇒
x
(27) is not rational There is a rational number
x
∈
S
such that
x
≤
0
(36)
class 12
Maths
Calculus
Differential Equations
Solution of the differential equation
cos
x
d
y
=
y
(
sin
x
−
y
)
d
x
,
0
<
x
<
2
π
(A)
sec
x
=
(
tan
x
+
c
)
y
(B)
y
sec
x
=
tan
x
+
c
(C)
y
tan
x
=
sec
x
+
c
(D)
tan
x
=
(
sec
x
+
c
)
y
class 12
Maths
Calculus
Application Of Derivatives
Let
f
:
R
→
R
be defined by
f
(
x
)
=
{
k
−
2
x
,
if
x
≤
−
1
2
x
+
3
,
f
x
≻
1
}
. If f has a local minimum at
x
=
1
, then a possible value of k is
class 12
Maths
Algebra
Vector Algebra
Let
a
=
j
^
−
k
^
and
c
=
i
^
−
j
^
−
k
^
. Then vector
b
satisfying
a
×
b
+
c
=
0
and
a
b
˙
=
3
is
class 12
Maths
Calculus
Application Of Integrals
The area bounded by the curves
y
=
cos
x
a
n
d
y
=
sin
x
between the ordinates
x
=
0
a
n
d
x
=
2
3
π
is
class 11
Math
All topics
Trigonometric Ratios And Identities
Let
cos
(
α
+
β
)
=
5
4
and let
s
∈
(
α
β
)
=
1
3
5
where
0
≤
α
,
β
≤
4
π
, then
t
a
n
2
α
=
class 12
Maths
Calculus
Application Of Derivatives
The equation of the tangent to the curve
y
=
x
+
x
2
4
, that is parallel to the x-axis, is
class 12
Maths
Algebra
Matrices
The number of 3 ´ 3 non-singular matrices, with four entries as 1 and all other entries as 0, is
class 12
Maths
Algebra
Relations
Consider the following relations:R = {(x, y) | x, y are real numbers and x = wy for some rational number w};
S
=
{
(
n
m
,
q
p
)
m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q
=
0andq m = p n
}
. Then
class 11
Maths
Co-ordinate Geometry
Parabola
If two tangents drawn from a point P to the parabola
y
2
=
4
x
are at right angles, then the locus of P is
(
a
)
2x+1=0
(
b
)
x=-1
(
c
)
2x-1=0
(
d
)
x=1
1
2
3
4
5
6
7
8
9
10
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iit jee
| 2010
Solutions for all the questions from iit jee
of year 2010
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2010
SUBJECT
math
maths
class 11
Maths
Algebra
Mathematical Reasoning
Let S be a non-empty subset of R. Consider the following statement:P: There is a rational number
x
∈
S
such that
x
>
0
.Which of the following statements is the negation of the statement P ? There is no rational number
x
∈
S
such that
x
≤
0
(9) Every rational number
x
∈
S
satisfies
x
≤
0
(18)
x
∈
S
and
x
≤
0
⇒
x
(27) is not rational There is a rational number
x
∈
S
such that
x
≤
0
(36)
class 12
Maths
Calculus
Differential Equations
Solution of the differential equation
cos
x
d
y
=
y
(
sin
x
−
y
)
d
x
,
0
<
x
<
2
π
(A)
sec
x
=
(
tan
x
+
c
)
y
(B)
y
sec
x
=
tan
x
+
c
(C)
y
tan
x
=
sec
x
+
c
(D)
tan
x
=
(
sec
x
+
c
)
y
class 12
Maths
Calculus
Application Of Derivatives
Let
f
:
R
→
R
be defined by
f
(
x
)
=
{
k
−
2
x
,
if
x
≤
−
1
2
x
+
3
,
f
x
≻
1
}
. If f has a local minimum at
x
=
1
, then a possible value of k is
class 12
Maths
Algebra
Vector Algebra
Let
a
=
j
^
−
k
^
and
c
=
i
^
−
j
^
−
k
^
. Then vector
b
satisfying
a
×
b
+
c
=
0
and
a
b
˙
=
3
is
class 12
Maths
Calculus
Application Of Integrals
The area bounded by the curves
y
=
cos
x
a
n
d
y
=
sin
x
between the ordinates
x
=
0
a
n
d
x
=
2
3
π
is
class 11
Math
All topics
Trigonometric Ratios And Identities
Let
cos
(
α
+
β
)
=
5
4
and let
s
∈
(
α
β
)
=
1
3
5
where
0
≤
α
,
β
≤
4
π
, then
t
a
n
2
α
=
class 12
Maths
Calculus
Application Of Derivatives
The equation of the tangent to the curve
y
=
x
+
x
2
4
, that is parallel to the x-axis, is
class 12
Maths
Algebra
Matrices
The number of 3 ´ 3 non-singular matrices, with four entries as 1 and all other entries as 0, is
class 12
Maths
Algebra
Relations
Consider the following relations:R = {(x, y) | x, y are real numbers and x = wy for some rational number w};
S
=
{
(
n
m
,
q
p
)
m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q
=
0andq m = p n
}
. Then
class 11
Maths
Co-ordinate Geometry
Parabola
If two tangents drawn from a point P to the parabola
y
2
=
4
x
are at right angles, then the locus of P is
(
a
)
2x+1=0
(
b
)
x=-1
(
c
)
2x-1=0
(
d
)
x=1
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 2
You're on page
1
page
2
Next
page
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