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Binomial Theorem
- Online Test
Binomial Theorem
TEST : 5
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q1.
If the rth term in the expansion of
(
x
3
−
2
x
2
)
10
contains
x
4
then r is equal to
A.
3
B.
4
C.
2
D.
1
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q2.
If in the binomial expansion of
(
a
+
b
)
n
,
n
≥
5
the sum of 5
th
and 6
th
terms are 0, then
b
a
is
A.
6
4
−
n
B.
6
5
−
n
C.
4
5
−
n
D.
6
4
−
n
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q3.
The 1st three terms in the expansion of
(
2
+
x
3
)
4
are
A.
16
+
32
x
3
+
24
x
2
9
B.
16
+
34
x
3
+
24
x
2
9
C.
16
+
12
x
+
3
16
x
2
D.
16
+
3
x
−
3
16
x
2
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q4.
The coefficients of
x
n
in the expansion of
(
1
+
2
x
+
3
x
2
+
.
.
.
.
.
.
.
.
.
.
)
−
n
2
, where n is an even integer is
A.
2
B.
n+1
C.
n
D.
1
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q5.
Find the number of terms in the expansion of
[
(
2
x
+
y
)
10
−
(
2
x
−
y
)
10
]
A.
5
B.
10
C.
6
D.
11
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q6.
The index of the power of x that occurs in the
7
t
h
term from the end in the expansion of
(
2
x
3
−
3
2
x
)
9
is
A.
-5
B.
5
C.
-3
D.
3
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q7.
The index of the power of x that occurs in the
6
t
h
term in the expansion of
(
4
x
5
−
8
5
x
)
9
is
A.
3
B.
2
C.
-1
D.
1
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q8.
If in the expansion of
(
1
+
x
)
43
, the coefficients of (2r+1)th and (r+2)th terms are equal , then r is equal to
A.
7 or 1
B.
1 or 14
C.
2 or 14
D.
21 or 1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q9.
The coefficient of
x
7
in the expansion of
(
1
−
x
)
4
(
1
+
x
)
9
is
A.
36
B.
-84
C.
-36
D.
84
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Binomial Theorem
# CBSE 11th Mathematics
Prepare / Learn
Q10.
The index of the power of x that occurs in the 5th term in the expansion of
(
2
x
2
−
1
3
x
2
)
8
is
A.
12
B.
4
C.
2
D.
0
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
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