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Byju's Answer
Standard XII
Mathematics
Binomial Expression
The coefficie...
Question
The coefficient of
x
−
30
in
(
3
x
2
+
2
3
x
2
)
15
is :
A
15
C
2
.3
8
.2
7
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B
(
2
3
)
15
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C
(
3
2
)
15
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D
3
1
4
.2
2
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Solution
The correct option is
B
(
2
3
)
15
Given
(
3
x
2
+
2
3
x
2
)
15
let the
(
n
+
1
)
t
h
term have
x
−
30
as variable
T
n
−
a
=
15
C
n
(
3
x
2
)
15
−
n
(
2
3
x
2
)
n
T
n
−
a
=
15
C
n
3
15
−
2
n
2
n
x
30
−
4
n
we have
x
−
30
On comparing powers
we get
30
−
4
n
=
−
30
4
n
=
60
n
=
15
we have
15
t
h
term of expansion i.e.
coefficient of
x
−
30
=
15
C
15
(
3
x
2
)
15
−
45
(
2
3
x
2
)
15
A
n
s
w
e
r
=
1
×
1.
(
2
3
)
15
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0
Similar questions
Q.
The coefficient of
x
30
in
(
3
x
2
+
2
3
x
2
)
15
is
Q.
Write
(i) the coefficient of
x
3
in
x
+
3
x
2
-
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x
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+
x
4
.
(ii) the coefficient of x in
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2
x
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2
.
(iii) the coefficient of x
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.
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x
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(v) the constant term in
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π
.
Q.
The coefficient of
x
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in the expression of
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1
+
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)
21
+
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1
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22
+
.
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.
.
+
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x
2
−
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x
3
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Q.
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5
and
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(
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x
2
−
1
3
x
3
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10
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