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iit jee
| 2006
Solutions for all the questions from iit jee
of year 2006
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2006
SUBJECT
math
30
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class 12
Math
Calculus
Definite Integral
The value of
$∫_{0}(1−x_{50})_{101}dx(5050)∫_{0}(1−x_{50})_{100}dx $
is
class 11
Math
Co-ordinate Geometry
Circles
A circle touches the line L and the circle
$C_{1}$
externally such that both the circles are on the same side of the line, then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line
class 11
Math
Algebra
Complex Numbers
Let ABCD be a square of side length 2 units.
$C_{2}$
is the circle through vertices
$A,B,C,DandC_{1}$
is the circle touching all the sides of the square ABCD. L is a line through A. If P is a point on
$C_{1}andQ$
in another point on
$C_{2}$
, then
$QA_{2}+QB_{2}+QC_{2}+QD_{2}PA_{2}+PB_{2}+PC_{2}+PD_{2} $
is equal to
class 11
Math
Algebra
Linear Inequalities
If
$a_{n}=43 −(43 )_{2}+(43 )_{3}+…(−1)_{n−1}(43 )_{n}$
and
$b_{n}=1−a_{n}$
, then find the minimum natural number n, such that
$b_{n}>a_{n}$
class 12
Math
Calculus
Definite Integral
Suppose we define the definite integral using the following formula
$∫_{a}f(x)dx=2b−c (f(a)+f(b))$
, for more accurate result for
$c∈(a,b)F(c)=2b−c (f(a)−f(c))+2b−c (f(b)−f(c))$
. When
$c=2a+b ,∫_{a}f(x)dx=4b−a (f(a)+f(b)+f(2f(c))$
then
$∫_{0}sinxdx$
class 12
Math
Algebra
Vector Algebra
Let
$A$
be a vector parallel to the line of intersection of planes
$P_{1}andP_{2}˙$
Plane
$P_{1}$
is parallel to vectors
$2j^ +3k^and4j^ −3kandP_{2}$
is parallel to
$j^ −k^and3i^+3j^ ˙$
Then the angle betweenvector
$A$
and a given vector
$2i^+j^ −2k^$
is a.
$π/2$
b.
$π/4$
c.
$π/6$
d.
$3π/4$
class 11
Math
Co-ordinate Geometry
Parabola
Match the following. Normals are drawn at points P Q and R lying on the parabola
$y_{2}=4x$
which intersect at (3,0)
class 12
Math
Calculus
Application Of Derivatives
If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f(c)=-1,f(d)=2, f(e)=0 where a < b < c < d e, then the minimum number of zeroes of
$g(x)=f_{′}(x)_{2}+f_{′′}(x)f(x)$
in the interval [a, e] is
1
2
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iit jee
| 2006
Solutions for all the questions from iit jee
of year 2006
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
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30
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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
class 12
Math
Calculus
Definite Integral
The value of
$∫_{0}(1−x_{50})_{101}dx(5050)∫_{0}(1−x_{50})_{100}dx $
is
class 11
Math
Co-ordinate Geometry
Circles
A circle touches the line L and the circle
$C_{1}$
externally such that both the circles are on the same side of the line, then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line
class 11
Math
Algebra
Complex Numbers
Let ABCD be a square of side length 2 units.
$C_{2}$
is the circle through vertices
$A,B,C,DandC_{1}$
is the circle touching all the sides of the square ABCD. L is a line through A. If P is a point on
$C_{1}andQ$
in another point on
$C_{2}$
, then
$QA_{2}+QB_{2}+QC_{2}+QD_{2}PA_{2}+PB_{2}+PC_{2}+PD_{2} $
is equal to
class 11
Math
Algebra
Linear Inequalities
If
$a_{n}=43 −(43 )_{2}+(43 )_{3}+…(−1)_{n−1}(43 )_{n}$
and
$b_{n}=1−a_{n}$
, then find the minimum natural number n, such that
$b_{n}>a_{n}$
class 12
Math
Calculus
Definite Integral
Suppose we define the definite integral using the following formula
$∫_{a}f(x)dx=2b−c (f(a)+f(b))$
, for more accurate result for
$c∈(a,b)F(c)=2b−c (f(a)−f(c))+2b−c (f(b)−f(c))$
. When
$c=2a+b ,∫_{a}f(x)dx=4b−a (f(a)+f(b)+f(2f(c))$
then
$∫_{0}sinxdx$
class 12
Math
Algebra
Vector Algebra
Let
$A$
be a vector parallel to the line of intersection of planes
$P_{1}andP_{2}˙$
Plane
$P_{1}$
is parallel to vectors
$2j^ +3k^and4j^ −3kandP_{2}$
is parallel to
$j^ −k^and3i^+3j^ ˙$
Then the angle betweenvector
$A$
and a given vector
$2i^+j^ −2k^$
is a.
$π/2$
b.
$π/4$
c.
$π/6$
d.
$3π/4$
class 11
Math
Co-ordinate Geometry
Parabola
Match the following. Normals are drawn at points P Q and R lying on the parabola
$y_{2}=4x$
which intersect at (3,0)
class 12
Math
Calculus
Application Of Derivatives
If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f(c)=-1,f(d)=2, f(e)=0 where a < b < c < d e, then the minimum number of zeroes of
$g(x)=f_{′}(x)_{2}+f_{′′}(x)f(x)$
in the interval [a, e] is
1
2
Previous
page
1 / 1
You're on page
1
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page
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