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jee main
| 2013
| math
Solutions for all the questions from jee main
of year 2013
of subject math
EXAM
9
board examination
iit jee
jee advanced
jee main
jee main mock test 1
jee main mock test 2
jee main mock test 3
jee main mock test 4
jee main mock test 5
jee main mock test error
neet
neet mock test 1
neet mock test 1 untagged
neet mock test 1 untagged untagged
neet mock test 10
neet mock test 2
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neet mock test 4
neet mock test 5
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neet mock test 6
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neet mock test 7
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neet mock test 9
neet mock test 9 untagged
YEAR
All
2013
SUBJECT
math
CHAPTER
application of integrals
binomial theorem
complex number and quadratic equations
conic sections
coordinate geometry
differential equations
differentiation
integrals
limits and derivatives
mathematical reasoning
View All ↓
class 11
Math
Co-ordinate Geometry
Conic Sections
Given : A circle,
$2x_{2}+2y_{2}=5$
and a parabola,
$y_{2}=45 x$
.Statement - I : An equation of a common tangent to these curves is
$y=x+5 $
Statement - II : If the line,
$y=mx+m5 (m=0)$
is their common tangent, then m satisfies
$m_{4}−3m_{2}+2=0.$
class 11
Math
Algebra
Statistics
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?
class 11
Math
Co-ordinate Geometry
Conic Sections
The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point
class 11
Math
Co-ordinate Geometry
Coordinate Geometry
The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
class 12
Math
Calculus
Application of Integrals
The area (in square units) bounded by the curves
$y=x ,2y−x+3=0$
, x-axis, and lying in the first quadrant is
class 11
Math
Co-ordinate Geometry
Straight Lines
The intercepts on x-axis made by tangents to the curve,
$y=∫_{0}∣t∣dt,x∈R,$
which are parallel to the line
$y=2x$
, are equal to
class 11
Math
Algebra
Sequences and Series
If x, y, z are in A.P. and
$tan_{−1}x,tan_{−1}yandtan_{−1}z$
are also in A.P., then
class 12
Math
Calculus
Integrals
If
$∫f(x)dx=ψ(x)$
, then
$∫x_{5}f(x_{3})dx$
is equal to
class 11
Math
Co-ordinate Geometry
Conic Sections
The equation of the circle passing through the foci of the ellipse
$16x_{2} +9y_{2} =1$
, and having centre at (0, 3) is
class 11
Math
Co-ordinate Geometry
Straight Lines
A ray of light along
$x+3 y=3 $
gets reflected upon reaching x-axis, the equation of the reflected rays is
1
2
3
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jee main
| 2013
| math
Solutions for all the questions from jee main
of year 2013
of subject math
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EXAM
9
board examination
iit jee
jee advanced
jee main
jee main mock test 1
jee main mock test 2
jee main mock test 3
jee main mock test 4
jee main mock test 5
jee main mock test error
neet
neet mock test 1
neet mock test 1 untagged
neet mock test 1 untagged untagged
neet mock test 10
neet mock test 2
neet mock test 2 untagged
neet mock test 3
neet mock test 3 untagged
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neet mock test 5 untagged
neet mock test 6
neet mock test 6 untagged
neet mock test 7
neet mock test 7 untagged
neet mock test 8
neet mock test 8 untagged
neet mock test 9
neet mock test 9 untagged
YEAR
All
2013
SUBJECT
math
CHAPTER
application of integrals
binomial theorem
complex number and quadratic equations
conic sections
coordinate geometry
differential equations
differentiation
integrals
limits and derivatives
mathematical reasoning
View All ↓
class 11
Math
Co-ordinate Geometry
Conic Sections
Given : A circle,
$2x_{2}+2y_{2}=5$
and a parabola,
$y_{2}=45 x$
.Statement - I : An equation of a common tangent to these curves is
$y=x+5 $
Statement - II : If the line,
$y=mx+m5 (m=0)$
is their common tangent, then m satisfies
$m_{4}−3m_{2}+2=0.$
class 11
Math
Algebra
Statistics
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?
class 11
Math
Co-ordinate Geometry
Conic Sections
The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point
class 11
Math
Co-ordinate Geometry
Coordinate Geometry
The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
class 12
Math
Calculus
Application of Integrals
The area (in square units) bounded by the curves
$y=x ,2y−x+3=0$
, x-axis, and lying in the first quadrant is
class 11
Math
Co-ordinate Geometry
Straight Lines
The intercepts on x-axis made by tangents to the curve,
$y=∫_{0}∣t∣dt,x∈R,$
which are parallel to the line
$y=2x$
, are equal to
class 11
Math
Algebra
Sequences and Series
If x, y, z are in A.P. and
$tan_{−1}x,tan_{−1}yandtan_{−1}z$
are also in A.P., then
class 12
Math
Calculus
Integrals
If
$∫f(x)dx=ψ(x)$
, then
$∫x_{5}f(x_{3})dx$
is equal to
class 11
Math
Co-ordinate Geometry
Conic Sections
The equation of the circle passing through the foci of the ellipse
$16x_{2} +9y_{2} =1$
, and having centre at (0, 3) is
class 11
Math
Co-ordinate Geometry
Straight Lines
A ray of light along
$x+3 y=3 $
gets reflected upon reaching x-axis, the equation of the reflected rays is
1
2
3
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page
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page
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