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jee advanced
| 2014
| math
Solutions for all the questions from jee advanced
of year 2014
of subject math
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2014
SUBJECT
math
CHAPTER
application of derivatives
application of integrals
binomial theorem
circles
complex numbers
continuity and differentiability
coordinate geometry
definite integral
determinants
differential equations
View All ↓
class 12
Math
Calculus
Application Of Derivatives
Let
$f:(0,∞)R$
be given by
$f(x)=∫_{x1}te_{−(t+t1)}dt ,$
then (a)
$f(x)$
is monotonically increasing on
$[1,∞)$
(b)
$f(x)$
is monotonically decreasing on
$(0,1)$
(c)
$f(2_{x})$
is an odd function of
$x$
on
$R$
class 12
Math
Calculus
Continuity And Differentiability
Let
$f:[a,b]1,∞ $
be a continuous function and let
$g:RR$
be defined as
$g(x)={0ifxbThen$
$g(x)$
is continuous but not differentiable at a
$g(x)$
is differentiable on
$R$
$g(x)$
is continuous but nut differentiable at
$b$
$g(x)$
is continuous and differentiable at either
$a$
or
$b$
but not both.
class 11
Math
Co-ordinate Geometry
Circles
A circle S passes through the point (0, 1) and is orthogonal to the circles
$(x−1)_{2}+y_{2}=16$
and
$x_{2}+y_{2}=1$
. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)
class 12
Math
Algebra
Vector Algebra
Let x, y and z be three vectors each of magnitude V2 tion on and the angle between each pair of them is E. If a is a let non-zero vector perpendicular to x and yx z and b is a non-zero tor perpendicular to y and z x x, then 1.
class 11
Math
Algebra
Permutations And Combinations
Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover cards numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done isa.
$264$
b.
$265$
c.
$53$
d.
$67$
class 11
Math
Co-ordinate Geometry
Circles
A circle S passes through the point (0, 1) and is orthogonal to the circles
$(x−1)_{2}+y_{2}=16$
and
$x_{2}+y_{2}=1$
. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)
class 11
Math
Algebra
Permutations And Combinations
Let
$n≥2$
be integer. Take
$n$
distinct points on a circle and join each pair of points by a line segment. Color the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of
$n$
is
class 12
Math
Calculus
Continuity And Differentiability
For every pair of continuous functions
$f,g:[0,1]→R$
such that
$max{f(x):x∈[0,1]}=max{g(x):x∈[0,1]}$
then which are the correct statements
class 12
Math
Calculus
Application Of Derivatives
Late
$a∈R$
and let
$f:R$
be given by
$f(x)=x_{5}−5x+a,$
then
$f(x)$
has three real roots if
$a>4$
$f(x)$
has only one real roots if
$a>4$
$f(x)$
has three real roots if
$a<−4$
$f(x)$
has three real roots if
$−4<a<4$
class 12
Math
Calculus
Application Of Derivatives
Let
$f:(0,∞)R$
be given by
$f(x)=∫_{x1}te_{−(t+t1)}dt ,$
then (a)
$f(x)$
is monotonically increasing on
$[1,∞)$
(b)
$f(x)$
is monotonically decreasing on
$(0,1)$
(c)
$f(2_{x})$
is an odd function of
$x$
on
$R$
1
2
3
4
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page
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jee advanced
| 2014
| math
Solutions for all the questions from jee advanced
of year 2014
of subject math
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2014
SUBJECT
math
CHAPTER
application of derivatives
application of integrals
binomial theorem
circles
complex numbers
continuity and differentiability
coordinate geometry
definite integral
determinants
differential equations
View All ↓
class 12
Math
Calculus
Application Of Derivatives
Let
$f:(0,∞)R$
be given by
$f(x)=∫_{x1}te_{−(t+t1)}dt ,$
then (a)
$f(x)$
is monotonically increasing on
$[1,∞)$
(b)
$f(x)$
is monotonically decreasing on
$(0,1)$
(c)
$f(2_{x})$
is an odd function of
$x$
on
$R$
class 12
Math
Calculus
Continuity And Differentiability
Let
$f:[a,b]1,∞ $
be a continuous function and let
$g:RR$
be defined as
$g(x)={0ifxbThen$
$g(x)$
is continuous but not differentiable at a
$g(x)$
is differentiable on
$R$
$g(x)$
is continuous but nut differentiable at
$b$
$g(x)$
is continuous and differentiable at either
$a$
or
$b$
but not both.
class 11
Math
Co-ordinate Geometry
Circles
A circle S passes through the point (0, 1) and is orthogonal to the circles
$(x−1)_{2}+y_{2}=16$
and
$x_{2}+y_{2}=1$
. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)
class 12
Math
Algebra
Vector Algebra
Let x, y and z be three vectors each of magnitude V2 tion on and the angle between each pair of them is E. If a is a let non-zero vector perpendicular to x and yx z and b is a non-zero tor perpendicular to y and z x x, then 1.
class 11
Math
Algebra
Permutations And Combinations
Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover cards numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done isa.
$264$
b.
$265$
c.
$53$
d.
$67$
class 11
Math
Co-ordinate Geometry
Circles
A circle S passes through the point (0, 1) and is orthogonal to the circles
$(x−1)_{2}+y_{2}=16$
and
$x_{2}+y_{2}=1$
. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)
class 11
Math
Algebra
Permutations And Combinations
Let
$n≥2$
be integer. Take
$n$
distinct points on a circle and join each pair of points by a line segment. Color the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of
$n$
is
class 12
Math
Calculus
Continuity And Differentiability
For every pair of continuous functions
$f,g:[0,1]→R$
such that
$max{f(x):x∈[0,1]}=max{g(x):x∈[0,1]}$
then which are the correct statements
class 12
Math
Calculus
Application Of Derivatives
Late
$a∈R$
and let
$f:R$
be given by
$f(x)=x_{5}−5x+a,$
then
$f(x)$
has three real roots if
$a>4$
$f(x)$
has only one real roots if
$a>4$
$f(x)$
has three real roots if
$a<−4$
$f(x)$
has three real roots if
$−4<a<4$
class 12
Math
Calculus
Application Of Derivatives
Let
$f:(0,∞)R$
be given by
$f(x)=∫_{x1}te_{−(t+t1)}dt ,$
then (a)
$f(x)$
is monotonically increasing on
$[1,∞)$
(b)
$f(x)$
is monotonically decreasing on
$(0,1)$
(c)
$f(2_{x})$
is an odd function of
$x$
on
$R$
1
2
3
4
Previous
page
1 / 1
You're on page
1
Next
page
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