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Standard XII
Maths
Question
If
f
(
x
)
=
a
x
5
+
b
x
3
+
c
x
+
d
is odd then
b
=
0
a
=
0
c
=
0
d
=
0
A
d
=
0
B
b
=
0
C
c
=
0
D
a
=
0
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Solution
Verified by Toppr
For odd function
f
(
−
x
)
=
−
f
(
x
)
a
(
−
x
)
5
+
b
(
−
x
)
3
+
c
(
−
x
)
+
d
=
−
a
x
5
−
6
x
3
−
c
x
3
−
d
⇒
d
=
0
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7
Similar Questions
Q1
If
f
(
x
)
=
a
x
5
+
b
x
3
+
c
x
+
d
is odd then
View Solution
Q2
If
f
x
=
0
x
-
a
x
-
b
x
+
a
0
x
-
c
x
+
b
x
+
c
0
, then
(a) f(a) = 0
(b) f(b) = 0
(c) f(0) = 0
(d) f(1) = 0
View Solution
Q3
If
0
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<
c
then
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(
x
)
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3
+
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x
2
+
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View Solution
Q4
If
lim
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→
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∞
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√
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+
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b
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−
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Q5
f
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x
)
=
⎧
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎩
(
x
+
b
x
2
)
1
/
2
−
x
1
/
2
b
x
3
/
2
x
>
0
c
x
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sin
(
a
+
1
)
x
+
sin
x
x
x
<
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is continuous at
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=
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View Solution