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jee advanced
| 2016
Solutions for all the questions from jee advanced
of year 2016
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2016
SUBJECT
math
maths
class 11
Maths
Algebra
Permutations And Combinations
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
class 11
Math
All topics
Trigonometric Equation
Let
$S={xϵ(−π,π):x=0,+2π }$
The sum of all distinct solutions of the equation
$3 secx+cosecx+2(tanx−cotx)=0$
in the set S is equal to
class 12
Maths
Calculus
Application Of Integrals
Let
$F(x)=∫_{x}[2cos_{2}t.dt]$
for all
$x∈R$
and
$f:[0,21 ]→[0,∞)$
be a continuous function.For
$a∈[0,21 ]$
, if F'(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is
class 12
Maths
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 11
Math
All topics
Trigonometric Functions
Let
$−61 <θ<−12π $
Suppose
$α_{1}andβ_{1}$
, are the roots of the equation
$x_{2}−2xsecθ+1=0$
and
$α_{2}andβ_{2}$
are the roots of the equation
$x_{2}+2xtanθ−1=0$
. If
$α_{1}>β_{1}$
and
$α_{2}>β_{2}$
, then
$α_{1}+β_{2}$
equals
class 11
Maths
Algebra
Permutations And Combinations
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then the value of m/n is
class 11
Maths
Algebra
Permutations And Combinations
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then the value of m/n is
class 12
Maths
Algebra
Probability
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is :
class 12
Maths
Algebra
Probability
A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the tune, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?
class 12
Maths
Calculus
Differential Equations
Let
$f:(0,∞)→R$
be a differentiable function such that
$f_{′}(x)=2−xf(x) $
for all
$x∈(0,∞)$
and
$f(1)=1$
, then
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jee advanced
| 2016
Solutions for all the questions from jee advanced
of year 2016
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
YEAR
All
2016
SUBJECT
math
maths
class 11
Maths
Algebra
Permutations And Combinations
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
class 11
Math
All topics
Trigonometric Equation
Let
$S={xϵ(−π,π):x=0,+2π }$
The sum of all distinct solutions of the equation
$3 secx+cosecx+2(tanx−cotx)=0$
in the set S is equal to
class 12
Maths
Calculus
Application Of Integrals
Let
$F(x)=∫_{x}[2cos_{2}t.dt]$
for all
$x∈R$
and
$f:[0,21 ]→[0,∞)$
be a continuous function.For
$a∈[0,21 ]$
, if F'(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is
class 12
Maths
3D Geometry
Three Dimensional Geometry
For
$a>b>c>0$
, if the distance between
$(1,1)$
and the point of intersection of the line
$ax+by−c=0$
is less than
$22 $
then,
class 11
Math
All topics
Trigonometric Functions
Let
$−61 <θ<−12π $
Suppose
$α_{1}andβ_{1}$
, are the roots of the equation
$x_{2}−2xsecθ+1=0$
and
$α_{2}andβ_{2}$
are the roots of the equation
$x_{2}+2xtanθ−1=0$
. If
$α_{1}>β_{1}$
and
$α_{2}>β_{2}$
, then
$α_{1}+β_{2}$
equals
class 11
Maths
Algebra
Permutations And Combinations
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then the value of m/n is
class 11
Maths
Algebra
Permutations And Combinations
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then the value of m/n is
class 12
Maths
Algebra
Probability
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is :
class 12
Maths
Algebra
Probability
A manufacturer has three machine operators A, B and C. The first operator A produces 1% defective items, where as the other two operators B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the tune, B is on the job for 30% of the time and C is on the job for 20% of the time. A defective item is produced, what is the probability that it was produced by A?
class 12
Maths
Calculus
Differential Equations
Let
$f:(0,∞)→R$
be a differentiable function such that
$f_{′}(x)=2−xf(x) $
for all
$x∈(0,∞)$
and
$f(1)=1$
, then
1
2
3
4
5
6
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page
1 / 1
You're on page
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