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iit jee
| 2012
| math
Solutions for all the questions from iit jee
of year 2012
of subject math
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2012
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 11
Math
Algebra
Sequences And Series
Statement 1: The sum of the series
$1+(1+2+4)+(4+6+9)+(9+12+16)+......$
$+(361+380+400)is8000$
.Statement 2:
$k=1∑n (k_{3}−(k−1)_{3})=n_{3}$
for any natural number n.
class 12
Math
Algebra
Vector Algebra
Let
$a^$
and
$b^$
be two unit vectors. If the vectors
$c=a^+2b^andd=5a^−4b^$
are perpendicular to each other, then the angle between
$a^$
and
$b^$
is
class 12
Math
Calculus
Application Of Derivatives
A spherical balloon is filled with 4500p cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of
$72π$
cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is
class 11
Math
Algebra
Statistics
Let
$x_{1},x_{2},......,x_{n}$
be n observations, and let
$x$
be their arithematic mean and
$σ_{2}$
be their variance.Statement 1: Variance of
$2x_{1},2x_{2},......,2x_{n}is4σ_{2}$
.Statement 2: Arithmetic mean of
$2x_{1},2x_{2},......,2x_{n}is4x$
.
class 12
Math
Calculus
Application Of Derivatives
Let a, b R be such that the function f given by
$f(x)=ln∣x∣+bx_{2}+ax,x=0$
has extreme values at
$x=1$
and
$x=2$
.Statement 1: f has local maximum at
$x=1$
and at
$x=2$
.Statement 2:
$a=21 andb=4−1 $
class 12
Math
Calculus
Indefinite Integrals
If the integral
$∫tanx−25tanx dx=x+aln∣sinx−2cosx∣+k$
then a is equal to
class 11
Math
Algebra
Binomial Theorem
If n is a positive integer, then
$(3 +1)_{2n}−(3 −1)_{2n}$
is
class 11
Math
All topics
Trigonometric Functions
In a
$ΔPQR$
, if
$3s∈P+4cosQ=6$
and
$4s∈Q+3cosP=1$
, then the angle R is equal to
class 12
Math
Calculus
Differential Equations
The population p(t) at time t of a certain mouse species satisfies the differential equation
$dtdp(t) =0.5p(t)−450$
If
$p(0)=850$
, then the time at which the population becomes zero is
class 12
Math
Algebra
Probability
Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is
1
2
3
4
5
6
7
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page
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iit jee
| 2012
| math
Solutions for all the questions from iit jee
of year 2012
of subject math
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2012
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 11
Math
Algebra
Sequences And Series
Statement 1: The sum of the series
$1+(1+2+4)+(4+6+9)+(9+12+16)+......$
$+(361+380+400)is8000$
.Statement 2:
$k=1∑n (k_{3}−(k−1)_{3})=n_{3}$
for any natural number n.
class 12
Math
Algebra
Vector Algebra
Let
$a^$
and
$b^$
be two unit vectors. If the vectors
$c=a^+2b^andd=5a^−4b^$
are perpendicular to each other, then the angle between
$a^$
and
$b^$
is
class 12
Math
Calculus
Application Of Derivatives
A spherical balloon is filled with 4500p cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of
$72π$
cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is
class 11
Math
Algebra
Statistics
Let
$x_{1},x_{2},......,x_{n}$
be n observations, and let
$x$
be their arithematic mean and
$σ_{2}$
be their variance.Statement 1: Variance of
$2x_{1},2x_{2},......,2x_{n}is4σ_{2}$
.Statement 2: Arithmetic mean of
$2x_{1},2x_{2},......,2x_{n}is4x$
.
class 12
Math
Calculus
Application Of Derivatives
Let a, b R be such that the function f given by
$f(x)=ln∣x∣+bx_{2}+ax,x=0$
has extreme values at
$x=1$
and
$x=2$
.Statement 1: f has local maximum at
$x=1$
and at
$x=2$
.Statement 2:
$a=21 andb=4−1 $
class 12
Math
Calculus
Indefinite Integrals
If the integral
$∫tanx−25tanx dx=x+aln∣sinx−2cosx∣+k$
then a is equal to
class 11
Math
Algebra
Binomial Theorem
If n is a positive integer, then
$(3 +1)_{2n}−(3 −1)_{2n}$
is
class 11
Math
All topics
Trigonometric Functions
In a
$ΔPQR$
, if
$3s∈P+4cosQ=6$
and
$4s∈Q+3cosP=1$
, then the angle R is equal to
class 12
Math
Calculus
Differential Equations
The population p(t) at time t of a certain mouse species satisfies the differential equation
$dtdp(t) =0.5p(t)−450$
If
$p(0)=850$
, then the time at which the population becomes zero is
class 12
Math
Algebra
Probability
Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is
1
2
3
4
5
6
7
Previous
page
1 / 1
You're on page
1
Next
page
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