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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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class 12
Math
Algebra
Vector Algebra
The number of distinct real values of
$λ$
, for which the vectors
$λ_{2}i^+j^ +k,i^−λ_{2}j^ +k^andi^+j^ −λ_{2}k^$
are coplanar isa. zero b. one c. two d. three
class 11
Math
Algebra
Quadratic Equations
$α,β$
be the roots of the equation
$x_{2}−px+r=0$
and
$2α ,2β$
be the roots of the equation
$x_{2}−qx+r=0$
then value of
$r$
is
class 12
Math
Algebra
Vector Algebra
Let
$a,b,c$
be unit vectors such that
$a+b+c=0$
. Which of the following is correct?
class 11
Math
Algebra
Sequences And Series
Let
$V_{r}$
denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is
$(2r−1)$
. Let
$T_{r}=V_{r+1}−V_{r}−2$
and
$Q_{r}=T_{r+1}−T_{r}$
for
$r=1,2,…….$
The sum
$V_{1}+V_{2}+……+V_{n}$
is
class 11
Math
Algebra
Sequences And Series
Let
$V_{r}$
denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is
$(2r−1)$
. Let
$T_{r}=V_{r+1}−V_{r}−2$
and
$Q_{r}=T_{r+1}−T_{r}$
for
$r=1,2,…….$
The sum
$V_{1}+V_{2}+……+V_{n}$
is
class 11
Math
Co-ordinate Geometry
Circles
Match the conditions/expressions A. Two intersecting circles B. Two mutually external circles C. Two circles, one strictly inside the other D. Two branches of a hyperbola
class 11
Math
Algebra
Complex Numbers
If
$∣z∣=1andz=±1,$
then all the values of
$1−z_{2}z $
lie on (a)a line not passing through the origin (b)
$∣z∣=2 $
(c)the x-axis (d) the y-axis
class 11
Math
Algebra
Quadratic Equations
Match the ColumnsMatch the conditions/expressions in Column I withstatement in Column II Let
$f(x)=x_{2}−5x+6x_{2}−6x+5 $
.
class 11
Math
Algebra
Sequences And Series
There are
$nAM_{′}s$
between
\displaystyle{1}&{31}
such that
$7th$
mean
$:(n−1)th$
mean
$=5:9$
, then find the value of
$n$
class 11
Math
Algebra
Permutations And Combinations
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order s in an English dictionary. The number of words that appear before the word COCHIN isa.
$360$
b.
$192$
c.
$96$
d.
$48$
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
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
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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 12
Math
Algebra
Vector Algebra
The number of distinct real values of
$λ$
, for which the vectors
$λ_{2}i^+j^ +k,i^−λ_{2}j^ +k^andi^+j^ −λ_{2}k^$
are coplanar isa. zero b. one c. two d. three
class 11
Math
Algebra
Quadratic Equations
$α,β$
be the roots of the equation
$x_{2}−px+r=0$
and
$2α ,2β$
be the roots of the equation
$x_{2}−qx+r=0$
then value of
$r$
is
class 12
Math
Algebra
Vector Algebra
Let
$a,b,c$
be unit vectors such that
$a+b+c=0$
. Which of the following is correct?
class 11
Math
Algebra
Sequences And Series
Let
$V_{r}$
denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is
$(2r−1)$
. Let
$T_{r}=V_{r+1}−V_{r}−2$
and
$Q_{r}=T_{r+1}−T_{r}$
for
$r=1,2,…….$
The sum
$V_{1}+V_{2}+……+V_{n}$
is
class 11
Math
Algebra
Sequences And Series
Let
$V_{r}$
denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is
$(2r−1)$
. Let
$T_{r}=V_{r+1}−V_{r}−2$
and
$Q_{r}=T_{r+1}−T_{r}$
for
$r=1,2,…….$
The sum
$V_{1}+V_{2}+……+V_{n}$
is
class 11
Math
Co-ordinate Geometry
Circles
Match the conditions/expressions A. Two intersecting circles B. Two mutually external circles C. Two circles, one strictly inside the other D. Two branches of a hyperbola
class 11
Math
Algebra
Complex Numbers
If
$∣z∣=1andz=±1,$
then all the values of
$1−z_{2}z $
lie on (a)a line not passing through the origin (b)
$∣z∣=2 $
(c)the x-axis (d) the y-axis
class 11
Math
Algebra
Quadratic Equations
Match the ColumnsMatch the conditions/expressions in Column I withstatement in Column II Let
$f(x)=x_{2}−5x+6x_{2}−6x+5 $
.
class 11
Math
Algebra
Sequences And Series
There are
$nAM_{′}s$
between
\displaystyle{1}&{31}
such that
$7th$
mean
$:(n−1)th$
mean
$=5:9$
, then find the value of
$n$
class 11
Math
Algebra
Permutations And Combinations
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order s in an English dictionary. The number of words that appear before the word COCHIN isa.
$360$
b.
$192$
c.
$96$
d.
$48$
1
2
3
4
5
6
7
Previous
page
1 / 1
You're on page
1
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page
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