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iit jee
| 2006
| math
Solutions for all the questions from iit jee
of year 2006
of subject math
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2006
SUBJECT
math
CHAPTER
application of derivatives
circles
complex numbers
definite integral
functions
fundamental of mathematics
hyperbola
indefinite integrals
limits and derivatives
linear inequalities
View All ↓
30
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15
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June 2021
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class 11
Math
Co-ordinate Geometry
Parabola
The equations of the common tangents to the parabola
$y=x_{2}andy=−(x−2)_{2}$
is/are :
class 11
Math
Calculus
Limits And Derivatives
For
$x>0,x→0lim (sinx)_{x1}+(x1 )_{sinx}$
is equal to
class 11
Math
Trigonometry
Solution And Properties Of Triangle
Internal bisector of
$∠A$
of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent sides of
$ΔABC$
, then
class 12
Math
Co-ordinate Geometry
Hyperbola
If
$a$
hyperbola passes through the foci of the ellipse
$25x_{2} +16y_{2} =1$
. Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is
$9x_{2} −16y_{2} =1$
b. the equation of hyperbola is
$9x_{2} −25y_{2} =1$
c. focus of hyperbola is (5, 0) d. focus of hyperbola is
$(53 ,0)$
class 12
Math
Calculus
Functions
If
$f_{x}=−f(x)$
and
$g(x)=f_{prime}(x)$
and
$F(x)=(f(2x ))_{2}+(g(2x ))_{2}$
and given that
$F(5)=5,$
then
$F(10)$
is equal to5 (b) 10 (c) 0 (d) 15
class 11
Math
Co-ordinate Geometry
Parabola
The axis of a parabola is along the line
$y=x$
and the distance of its vertex and focus from the origin are
$2 $
and
$22 $
, respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is
$(x+y)_{2}=(x−y−2)$
$(x−y)_{2}=(x+y−2)$
$(x−y)_{2}=4(x+y−2)$
$(x−y)_{2}=8(x+y−2)$
class 12
Math
Calculus
Indefinite Integrals
$∫x_{3}2x_{4}−2x_{2}+1 x_{2}−1 dxisequa<o$
$x_{3}2x_{4}−2x_{2}+1 +C$
(b)
$x2x_{4}−2x_{2}+1 +C$
$x_{2}2x_{4}−2x_{2}+1 +C$
(d)
$2x_{2}2x_{4}−2x_{2}+1 +C$
class 11
Math
Algebra
Fundamental Of Mathematics
lf
$r,s,t$
are prime numbers and
$p,q$
are the positive integers such that their LCM of
$p,q$
is
$r_{2}t_{4}s_{2},$
then the numbers of ordered pair of
$(p,q)$
is (A)
$252$
(B)
$254$
(C)
$225$
(D)
$224$
class 12
Math
Calculus
Application Of Derivatives
$f(x)$
is cubic polynomial with
$f(x)=18andf(1)=−1$
. Also
$f(x)$
has local maxima at
$x=−1andf_{prime}(x)$
has local minima at
$x=0$
, thenthe distance between
$(−1,2)and(af(a)),$
where
$x=a$
is the point of local minima is
$25 $
$f(x)$
is increasing for
$x∈[1,25 )$
$f(x)$
has local minima at
$x=1$
the value of
$f(0)=15$
class 11
Math
Algebra
Fundamental Of Mathematics
There are n urns each containing (n+1) balls such that ith urn contains i white balls and (n+1-i) red balls.
1
2
Previous
page
1 / 1
You're on page
1
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page
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iit jee
| 2006
| math
Solutions for all the questions from iit jee
of year 2006
of subject math
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2006
SUBJECT
math
CHAPTER
application of derivatives
circles
complex numbers
definite integral
functions
fundamental of mathematics
hyperbola
indefinite integrals
limits and derivatives
linear inequalities
View All ↓
class 11
Math
Co-ordinate Geometry
Parabola
The equations of the common tangents to the parabola
$y=x_{2}andy=−(x−2)_{2}$
is/are :
class 11
Math
Calculus
Limits And Derivatives
For
$x>0,x→0lim (sinx)_{x1}+(x1 )_{sinx}$
is equal to
class 11
Math
Trigonometry
Solution And Properties Of Triangle
Internal bisector of
$∠A$
of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent sides of
$ΔABC$
, then
class 12
Math
Co-ordinate Geometry
Hyperbola
If
$a$
hyperbola passes through the foci of the ellipse
$25x_{2} +16y_{2} =1$
. Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is
$9x_{2} −16y_{2} =1$
b. the equation of hyperbola is
$9x_{2} −25y_{2} =1$
c. focus of hyperbola is (5, 0) d. focus of hyperbola is
$(53 ,0)$
class 12
Math
Calculus
Functions
If
$f_{x}=−f(x)$
and
$g(x)=f_{prime}(x)$
and
$F(x)=(f(2x ))_{2}+(g(2x ))_{2}$
and given that
$F(5)=5,$
then
$F(10)$
is equal to5 (b) 10 (c) 0 (d) 15
class 11
Math
Co-ordinate Geometry
Parabola
The axis of a parabola is along the line
$y=x$
and the distance of its vertex and focus from the origin are
$2 $
and
$22 $
, respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is
$(x+y)_{2}=(x−y−2)$
$(x−y)_{2}=(x+y−2)$
$(x−y)_{2}=4(x+y−2)$
$(x−y)_{2}=8(x+y−2)$
class 12
Math
Calculus
Indefinite Integrals
$∫x_{3}2x_{4}−2x_{2}+1 x_{2}−1 dxisequa<o$
$x_{3}2x_{4}−2x_{2}+1 +C$
(b)
$x2x_{4}−2x_{2}+1 +C$
$x_{2}2x_{4}−2x_{2}+1 +C$
(d)
$2x_{2}2x_{4}−2x_{2}+1 +C$
class 11
Math
Algebra
Fundamental Of Mathematics
lf
$r,s,t$
are prime numbers and
$p,q$
are the positive integers such that their LCM of
$p,q$
is
$r_{2}t_{4}s_{2},$
then the numbers of ordered pair of
$(p,q)$
is (A)
$252$
(B)
$254$
(C)
$225$
(D)
$224$
class 12
Math
Calculus
Application Of Derivatives
$f(x)$
is cubic polynomial with
$f(x)=18andf(1)=−1$
. Also
$f(x)$
has local maxima at
$x=−1andf_{prime}(x)$
has local minima at
$x=0$
, thenthe distance between
$(−1,2)and(af(a)),$
where
$x=a$
is the point of local minima is
$25 $
$f(x)$
is increasing for
$x∈[1,25 )$
$f(x)$
has local minima at
$x=1$
the value of
$f(0)=15$
class 11
Math
Algebra
Fundamental Of Mathematics
There are n urns each containing (n+1) balls such that ith urn contains i white balls and (n+1-i) red balls.
1
2
Previous
page
1 / 1
You're on page
1
Next
page
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