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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
If fx=1-x+x2-...
Question
If
f
(
x
)
=
1
−
x
+
x
2
−
x
3
+
…
…
−
x
15
+
x
16
−
x
17
,
then the coefficient of
x
2
in
f
(
x
−
1
)
is
A
826
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B
816
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C
822
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D
716
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Solution
The correct option is
B
816
f
(
x
)
=
1
−
x
18
1
+
x
⇒
f
(
x
−
1
)
=
1
−
(
x
−
1
)
18
x
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1
Similar questions
Q.
If
f
(
x
)
=
1
−
x
+
x
2
−
x
3
+
.
.
.
.
−
x
15
+
x
16
+
x
17
, then the coefficient of
x
2
in
f
(
x
−
1
)
is?
Q.
If
f
(
x
)
=
1
+
x
2
−
x
3
+
.
.
.
−
x
15
+
x
16
−
x
17
, then the coefficient of
x
2
in
f
(
x
−
1
)
is
Q.
If
f
(
x
)
=
1
−
x
+
x
2
−
x
3
+
⋯
−
x
15
+
x
16
−
x
17
,
then the coefficient of
x
2
in
f
(
x
−
1
)
is
Q.
If f(x) =
1
−
x
+
x
2
−
x
3
+
.
.
.
.
.
.
.
+
x
16
−
x
17
,
then the coefficient of
x
2
in f(x - 1) is
Q.
The quotient when
1
+
x
2
+
x
4
+
x
6
+
⋯
+
x
34
is divided by
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+
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+
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