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Standard XI
Mathematics
NCERT
Question
Find
a
if the coefficients of
x
2
and
x
3
in the expansion of
(
3
+
a
x
)
9
are equal.
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Solution
Verified by Toppr
Coefficient of
x
2
is given by
9
C
2
3
7
a
2
and coefficient of
x
3
is given by
9
C
3
3
6
a
3
Equating both the coefficients, we get
9
C
2
3
7
a
2
=
9
C
3
3
6
a
3
⇒
a
=
9
7
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