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Recent questions in Class11
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
Complex Numbers and Quadratic Equations
Permutations and Combinations
Bionomial Theorem and Simple Applications
Sequence and Series
Coordinate Geometry: Straight Lines
Coordinate Geometry: Conic Sections
Coordinate Geometry
3-D Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
Two cars start at a point A at the same time. The first car goes with a uniform speed of 100 Km/hr and the second car starts at 80 for the first hour and increases the speed by 10 km/hr every hour. After how much time does the second car overtake the first car, assuming these are no stops in between.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q72
asked
Jan 6, 2014
by
yamini.v
1
answer
Distance of a point
P
(
→
c
)
from the the line
→
r
=
→
a
+
λ
→
b
is ?
jeemain
math
class11
ch11
3d-geometry
distance-between-two-points
easy
q71
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
Given an AP, if the sum of first 5 terms is 175 and the sum of first 10 terms is 700, find the sum of the first 7 terms.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q71
asked
Jan 6, 2014
by
yamini.v
1
answer
Find the sum of all natural numbers between 45 and 300 that are exactly divisible by 7.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q70
asked
Jan 5, 2014
by
yamini.v
1
answer
How many 3 digit numbers leave a remainder of 2 when divided by 7 ?
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q69
asked
Jan 5, 2014
by
yamini.v
1
answer
How many 3 digit numbers are divisible by 5?
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q68
asked
Jan 5, 2014
by
yamini.v
1
answer
A vector
→
a
is parallel to the line of intersection of planes
P
1
containing vectors
ˆ
i
,
ˆ
i
+
ˆ
j
and
P
2
conataining vectors
ˆ
i
−
ˆ
j
,
ˆ
i
+
ˆ
k
. Then the angle between
→
a
and
ˆ
i
−
2
ˆ
j
+
2
ˆ
k
is?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q70
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
How many two digit numbers are divisible by 4?
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q67
asked
Jan 5, 2014
by
yamini.v
1
answer
Which term of the sequence 130,126,122----- is the first negative term.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q66
asked
Jan 5, 2014
by
yamini.v
1
answer
Find the value of
n
such that the
n
t
h
term of the sequences 27,24,21------- and 2,4,6----- are equal.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q65
asked
Jan 5, 2014
by
yamini.v
1
answer
The vectors
→
a
,
→
b
,
→
c
→
d
be are such that
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
=
0
and
P
1
,
P
2
are two planes containing the pair of vectors
→
a
,
→
b
and
→
c
,
→
d
respectively, then the angle between the planes is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q69
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
A line passes through the points with position vectors are
ˆ
i
+
ˆ
j
−
2
ˆ
k
and
ˆ
i
−
3
ˆ
j
+
ˆ
k
. The position vector of a point on the line which is at a unit distance from the first point is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q68
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
If
→
a
,
→
b
,
→
c
are position vectors of three non collinear points
A
,
B
,
C
respectively, then the shortest distance of
A
from
B
C
is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q67
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The distance of the point
(
1
,
1
,
1
)
from the plane passing through the points
(
2
,
1
,
1
)
,
(
1
,
2
,
1
)
a
n
d
(
1
,
1
,
2
)
is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q66
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The line joining the points
6
→
a
−
4
→
b
−
5
→
c
and
−
4
→
c
and the line joining the points
−
→
a
−
2
→
b
−
3
→
c
and
→
a
+
2
→
b
−
5
→
c
Intersects at the point ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q65
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane having intercepts of
3
and
4
with
x
and
z
axes respectively and parallel to
y
axis is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q64
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
If the lines
x
=
1
+
s
,
y
=
−
3
−
λ
s
,
z
=
1
+
λ
s
and
x
=
t
/
2
,
y
=
1
+
t
,
z
=
2
−
t
with parameters
s
a
n
d
t
respectively, are coplanar, then
λ
=
?
jeemain
math
class12
ch11
3d-geometry
coplanar-lines
difficult
q63
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane containing the lines
→
r
=
→
a
1
+
λ
→
b
a
n
d
→
r
=
→
a
2
+
μ
→
b
is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q62
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane that contains the line
→
r
=
2
ˆ
i
+
λ
(
ˆ
j
−
ˆ
k
)
and
⊥
to the plane
→
r
.
(
ˆ
i
+
ˆ
k
)
=
3
is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q61
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
The
n
t
h
term of a progression is
2
n
+
3
. What is the type of progression and what is its
15
t
h
term.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q64
asked
Jan 4, 2014
by
yamini.v
1
answer
The equation of the plane through the point
(
1
,
2
,
−
1
)
and
⊥
to the line of intersection of the planes
→
r
.
(
3
ˆ
i
−
ˆ
j
+
ˆ
k
)
=
1
and
→
r
.
(
ˆ
i
+
4
ˆ
j
−
2
ˆ
k
)
=
2
is?
jeemain
math
class12
ch11
3d-geometry
medium
intersection-of-lines-and-planes
q60
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
If the position vector of the points
A
a
n
d
B
are
ˆ
i
−
ˆ
j
+
3
ˆ
k
and
3
ˆ
i
+
3
ˆ
j
+
3
ˆ
k
and the equation of a plane is
→
r
.
(
5
ˆ
i
+
2
ˆ
j
−
7
ˆ
k
)
+
9
=
0
, then the points
A
a
n
d
B
are?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q59
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane through origin and the line of intersection of the planes
→
r
.
→
a
=
λ
a
n
d
→
r
.
→
b
=
μ
is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
easy
q58
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
If
O
is origin,
|
→
O
P
|
=
3
with
d
.
r
.
=
(
−
1
,
2
,
−
2
)
then the coordinate of
P
is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q57
asked
Jan 3, 2014
by
rvidyagovindarajan_1
2
answers
For what value of n is
a
n
+
1
+
b
n
+
1
a
n
+
b
n
the GM of 4 and 16.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q63
asked
Jan 3, 2014
by
yamini.v
1
answer
Find the value of n such that
5
(
n
+
1
)
+
17
(
n
+
1
)
5
n
+
17
n
is the AM of 5 and 17
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q62
asked
Jan 3, 2014
by
yamini.v
1
answer
If
P
(
x
,
y
,
z
)
is a point on the line segment joining
Q
(
2
,
2
,
4
)
a
n
d
R
(
3
,
5
,
6
)
such that the projections of
→
O
P
on the coordinate axes are
13
5
,
19
5
,
26
5
respectively, then
P
divides
Q
R
in the ratio ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
medium
q56
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
Given that
a
ξ
b
are not equal , find the value of n so that
a
n
+
1
+
b
n
+
1
a
n
+
b
n
is the GM of
a
ξ
b
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q61
asked
Jan 3, 2014
by
yamini.v
1
answer
If n arithmetic means are interested between
0
and
32
such that the
2
n
d
mean is one-seventh of the
(
n
−
1
)
t
h
mean, find the value of
n
.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q60
asked
Jan 3, 2014
by
yamini.v
1
answer
Insert k arithmetic means between 1 and
k
2
. what is the resulting series?
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q59
asked
Jan 3, 2014
by
yamini.v
1
answer
In the series 2,10,50 ------ the number of terms required to make a sum of 7812 is
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q58
asked
Jan 3, 2014
by
yamini.v
1
answer
Which term of the series
16
9
,
4
3
,
1
,
3
4
------is
243
1024
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q57
asked
Jan 3, 2014
by
yamini.v
1
answer
The angles of a quadrilateral are in AP whose common difference is
10
0
. Find the angles.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q56
asked
Jan 3, 2014
by
yamini.v
1
answer
Divide 44 into 4 parts following an AP such that the ratio of the product of extremes to the product of the means is 5:14.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q55
asked
Jan 3, 2014
by
yamini.v
1
answer
If the
3
r
d
term of a GP is 18 and the
10
t
h
term is 39366 , find the
7
t
h
term of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q54
asked
Jan 3, 2014
by
yamini.v
1
answer
If
P
is a point in space such that
O
P
=
12
and
→
O
P
is inclined with angle
45
∘
with
O
X
and
60
∘
with
O
Y
then the coordinates of
P
is ?
jeemain
math
class11
ch12
3d-geometry
coordinates-of-a-point-in-space
easy
q55
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of the series 1.4 + 2.5 + 3.6----- upto 20 terms.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q53
asked
Jan 3, 2014
by
yamini.v
1
answer
If
P
(
3
,
2
,
−
4
)
,
Q
(
5
,
4
,
−
6
)
a
n
d
R
(
9
,
8
,
−
10
)
are collinear,then
R
divides
P
Q
in ratio?
jeemain
math
class11
ch12
3d-geometry
section-formula
easy
q54
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of the series
3
2
+
5
2
+
7
2
+-----upto 10 terms
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q52
asked
Jan 3, 2014
by
yamini.v
1
answer
If
1
x
+
y
,
1
x
y
,
1
y
+
z
are in AP,
x
,
y
,
z
are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q51
asked
Jan 3, 2014
by
yamini.v
1
answer
The sum of three numbers in GP is 26. If 2,2,-6 are added to them respectively they form as.n AP . Find the number
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q50
asked
Jan 3, 2014
by
yamini.v
1
answer
The length of
⊥
from origin to the plane passing through the point
→
a
and containing the line
→
r
=
→
b
+
λ
→
c
is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q53
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
The product of
3
numbers in
G
P
is
1000
. If
6
and
7
are added to the
2
n
d
and
3
r
d
terms respectively, the terms form an
A
P
.
Find the
G
P
.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q49
asked
Jan 3, 2014
by
yamini.v
1
answer
Find the sum of n terms of the series 2.4 + 5.6 + 8.8 + 11.10 +---------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q48
asked
Jan 3, 2014
by
yamini.v
1
answer
The equation of the plane through the line of intersection of the planes
a
x
+
b
y
+
c
z
=
d
=
0
and
a
′
x
+
b
′
y
+
c
′
z
+
d
′
=
0
and parallel to the line
y
=
0
,
z
=
0
is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q52
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of n terms of the series 1.5+3.8+5.11+---------------n
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q47
asked
Jan 3, 2014
by
yamini.v
1
answer
Find the sum of n terms of the series 2.4+5.7+8.10+------------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q46
asked
Jan 3, 2014
by
yamini.v
1
answer
The line through the point
ˆ
i
+
3
ˆ
j
+
2
ˆ
k
and
⊥
to the lines
→
r
=
(
ˆ
i
+
2
ˆ
j
−
ˆ
k
)
+
λ
(
2
ˆ
i
+
ˆ
j
+
ˆ
k
)
and
→
r
=
(
2
ˆ
i
+
6
ˆ
j
+
ˆ
k
)
+
μ
(
ˆ
i
+
2
ˆ
j
+
3
ˆ
k
)
is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q51
asked
Jan 3, 2014
by
rvidyagovindarajan_1
1
answer
If a, b, c, d are in GP, what is the progression of
a
n
+
b
n
,
b
n
+
c
n
,
c
n
+
d
n
.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q45
asked
Jan 3, 2014
by
yamini.v
1
answer
If a, b, c are in GP, find the value of
a
2
b
2
c
2
(
1
a
3
+
1
b
3
+
1
c
3
)
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q44
asked
Jan 3, 2014
by
yamini.v
1
answer
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