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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
30
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June 2021
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Classes starting
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class 11
Math
Algebra
Fundamental Of Mathematics
Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R inside the triangles OPQ is such that the triangles OPR, PQR, OQR are of equal area. The coordinates of R are (1)
$(34 ,3)$
(2)
$(3,32 )$
(3)
$(3,34 )$
(4)
$(34 ,32 )$
class 11
Math
Co-ordinate Geometry
Coordinate Geometry
The line
$L_{1}:y−x=0$
and
$L_{2}:2x+y=0$
intersect the line
$L_{3}:y+2=0$
at P and Q respectively. The bisector of the acute angle between
$L_{1}$
and
$L_{2}$
intersects
$L_{3}$
at R.Statement-1 : The ratio
$PR:RQ$
equals
$22 :5 $
Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true
class 12
Math
Calculus
Differential Equations
The differential equation
$dxdy =y1−y_{2} $
determines a family of circle with (a) variable radii and a fixed centre at
$(0,1)$
(b) variable radii and a fixed centre at
$(0,−1)$
(c) Fixed radius 1 and variable centres along the x-axis. (d) Fixed radius 1 and variable centres along the y-axis.
class 12
Math
Calculus
Differentiation
$dy_{2}d_{2}x $
equals:(1)
$(dx_{2}d_{2}y )_{−1}$
(2)
$−(dx_{2}d_{2}y )_{−1}(dxdy )_{−3}$
(3)
$(dx_{2}d_{2}y )_{−1}(dxdy )_{−2}$
(4)
$−(dx_{2}d_{2}y )_{−1}(dxdy )_{−3}$
class 12
Math
Algebra
Probability
Let
$E_{c}$
denote the complement of an event
$E.$
Let
$E,F,G$
be pairwise independent events with
$P(G)>0$
and
$P(E∩F∩G)=0$
Then
$P(E_{c}∩F_{c}∩G)$
equals (A)
$P(E_{c})+P(F_{c})$
(B)
$P(E_{c})−P(F_{c})$
(C)
$P(E_{c})−P(F)$
(D)
$P(E)−P(F_{c})$
class 11
Math
Algebra
Sequences And Series
Let
$A_{1},G_{1},H_{1}$
denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For
$n>2,$
let
$A_{n−1},G_{n−1}$
and
$H_{n−1}$
has arithmetic, geometric and harmonic means as
$A_{n},G_{N},H_{N},$
respectively.
class 11
Math
Algebra
Sequences And Series
Let
$A_{1},G_{1},H_{1}$
denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For
$n>2,$
let
$A_{n−1},G_{n−1}$
and
$H_{n−1}$
has arithmetic, geometric and harmonic means as
$A_{n},G_{N},H_{N},$
respectively.
1
2
3
4
5
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7
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iit jee
| 2007
Solutions for all the questions from iit jee
of year 2007
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
JEE MAINS
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
2007
SUBJECT
math
class 11
Math
Algebra
Fundamental Of Mathematics
Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R inside the triangles OPQ is such that the triangles OPR, PQR, OQR are of equal area. The coordinates of R are (1)
$(34 ,3)$
(2)
$(3,32 )$
(3)
$(3,34 )$
(4)
$(34 ,32 )$
class 11
Math
Co-ordinate Geometry
Coordinate Geometry
The line
$L_{1}:y−x=0$
and
$L_{2}:2x+y=0$
intersect the line
$L_{3}:y+2=0$
at P and Q respectively. The bisector of the acute angle between
$L_{1}$
and
$L_{2}$
intersects
$L_{3}$
at R.Statement-1 : The ratio
$PR:RQ$
equals
$22 :5 $
Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true
class 12
Math
Calculus
Differential Equations
The differential equation
$dxdy =y1−y_{2} $
determines a family of circle with (a) variable radii and a fixed centre at
$(0,1)$
(b) variable radii and a fixed centre at
$(0,−1)$
(c) Fixed radius 1 and variable centres along the x-axis. (d) Fixed radius 1 and variable centres along the y-axis.
class 12
Math
Calculus
Differentiation
$dy_{2}d_{2}x $
equals:(1)
$(dx_{2}d_{2}y )_{−1}$
(2)
$−(dx_{2}d_{2}y )_{−1}(dxdy )_{−3}$
(3)
$(dx_{2}d_{2}y )_{−1}(dxdy )_{−2}$
(4)
$−(dx_{2}d_{2}y )_{−1}(dxdy )_{−3}$
class 12
Math
Algebra
Probability
Let
$E_{c}$
denote the complement of an event
$E.$
Let
$E,F,G$
be pairwise independent events with
$P(G)>0$
and
$P(E∩F∩G)=0$
Then
$P(E_{c}∩F_{c}∩G)$
equals (A)
$P(E_{c})+P(F_{c})$
(B)
$P(E_{c})−P(F_{c})$
(C)
$P(E_{c})−P(F)$
(D)
$P(E)−P(F_{c})$
class 11
Math
Algebra
Sequences And Series
Let
$A_{1},G_{1},H_{1}$
denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For
$n>2,$
let
$A_{n−1},G_{n−1}$
and
$H_{n−1}$
has arithmetic, geometric and harmonic means as
$A_{n},G_{N},H_{N},$
respectively.
class 11
Math
Algebra
Sequences And Series
Let
$A_{1},G_{1},H_{1}$
denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For
$n>2,$
let
$A_{n−1},G_{n−1}$
and
$H_{n−1}$
has arithmetic, geometric and harmonic means as
$A_{n},G_{N},H_{N},$
respectively.
1
2
3
4
5
6
7
Previous
page
1 / 1
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1
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page
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