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Byju's Answer
Standard XII
Mathematics
Eccentricity of Ellipse
In a standard...
Question
In a standard biquadratic equation
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
, what is the product of roots?
A
−
b
a
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B
d
a
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C
−
c
a
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D
e
a
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Solution
The correct option is
D
e
a
=
c
o
−
e
f
f
i
c
i
e
n
t
o
f
c
o
n
s
t
a
n
t
c
o
−
e
f
f
i
c
i
e
n
t
o
f
x
n
=
e
a
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0
Similar questions
Q.
In a standard biquadratic equation
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
, what is the sum of roots taken three at a time?
Q.
If
x
3
+
1
is a factor of
a
x
2
+
b
x
3
+
c
x
2
+
d
x
+
e
,
a, b, c, d, e
ϵ
R
a
n
d
a
≠
0
,
then the real root of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
other than -1 is
Q.
Let
f
be a biquadratic function of
x
given by
f
(
x
)
=
A
x
4
+
B
x
3
+
C
x
2
+
D
x
+
E
where
A
,
B
,
C
,
D
,
E
∈
R
and
A
≠
0.
If
lim
x
→
0
(
f
(
−
x
)
2
x
3
)
1
/
x
=
e
−
3
,
then
Q.
If
2
,
5
,
7
,
−
4
are the roots of
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
then the roots of
a
x
4
−
b
x
3
+
c
x
2
−
d
x
+
e
=
0
are:
Q.
The equation whose roots are negative of the roots of the equation
8
x
4
+
34
x
3
+
19
x
2
−
31
x
+
6
=
0
is
a
x
4
+
b
x
3
+
c
x
2
+
d
x
+
e
=
0
,
then
a
+
b
+
c
+
d
+
e
=
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