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iit jee
| 2007
Solutions for all the questions from iit jee
of year 2007
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2007
SUBJECT
math
class 12
Math
Algebra
Probability
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
class 12
Math
Calculus
Inverse Trigonometric Functions
If
$sin_{−1}(5x )+cosec_{−1}(45 )=2π $
then the value of x is:
class 11
Math
Algebra
Sequences And Series
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals
class 12
Math
Calculus
Differential Equations
The differential equation of all circles passing through the origin and having their centres on the x-axis is
class 12
Math
3D Geometry
Three Dimensional Geometry
Let L be the line of intersection of the planes
$2x+3y+z=1$
and
$x+3y+2z=2$
. If L makes an angles
$α$
with the positive x-axis, then cos
$α$
equals
class 11
Math
Algebra
Permutations And Combinations
The set
$S={1,2,3,,12)$
is to be partitioned into three sets A, B, C of equal size. Thus,
$A∪B∪C=S,A∩B=B∩C=A∩C=φ$
. The number of ways to partition S is
class 11
Math
Co-ordinate Geometry
Circles
Consider a family of circles which are passing through the point
$(−1,1)$
and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval
class 12
Math
Calculus
Functions
The largest interval lying in
$(−2π ,2π )$
for which the function
\displaystyle{\left[{f{{\left({x}\right)}}}={4}^{{-{{x}}}}^{2}+{{\cos}^{{-{1}}}{\left(\frac{{x}}{{2}}-{1}\right)}}+{\log{{\left({\cos{{x}}}\right)}}}\right]}
is defined, is
class 12
Math
Calculus
Application Of Derivatives
If p and q are positive real numbers such that
$p_{2}+q_{2}=1$
, then the maximum value of
$(p+q)$
is
class 12
Math
Algebra
Probability
Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
1
2
3
4
5
6
7
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iit jee
| 2007
Solutions for all the questions from iit jee
of year 2007
Filter Results
EXAM
board examination
iit jee
jee advanced
jee main
neet
rtb
YEAR
All
2007
SUBJECT
math
class 12
Math
Algebra
Probability
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
class 12
Math
Calculus
Inverse Trigonometric Functions
If
$sin_{−1}(5x )+cosec_{−1}(45 )=2π $
then the value of x is:
class 11
Math
Algebra
Sequences And Series
In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals
class 12
Math
Calculus
Differential Equations
The differential equation of all circles passing through the origin and having their centres on the x-axis is
class 12
Math
3D Geometry
Three Dimensional Geometry
Let L be the line of intersection of the planes
$2x+3y+z=1$
and
$x+3y+2z=2$
. If L makes an angles
$α$
with the positive x-axis, then cos
$α$
equals
class 11
Math
Algebra
Permutations And Combinations
The set
$S={1,2,3,,12)$
is to be partitioned into three sets A, B, C of equal size. Thus,
$A∪B∪C=S,A∩B=B∩C=A∩C=φ$
. The number of ways to partition S is
class 11
Math
Co-ordinate Geometry
Circles
Consider a family of circles which are passing through the point
$(−1,1)$
and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval
class 12
Math
Calculus
Functions
The largest interval lying in
$(−2π ,2π )$
for which the function
\displaystyle{\left[{f{{\left({x}\right)}}}={4}^{{-{{x}}}}^{2}+{{\cos}^{{-{1}}}{\left(\frac{{x}}{{2}}-{1}\right)}}+{\log{{\left({\cos{{x}}}\right)}}}\right]}
is defined, is
class 12
Math
Calculus
Application Of Derivatives
If p and q are positive real numbers such that
$p_{2}+q_{2}=1$
, then the maximum value of
$(p+q)$
is
class 12
Math
Algebra
Probability
Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
1
2
3
4
5
6
7
Previous
page
1 / 1
You're on page
1
Next
page
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