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Byju's Answer
Standard XII
Mathematics
Summation by Sigma Method
If the equati...
Question
If the equation
2
x
3
+
3
x
2
−
12
x
+
d
=
0
has 3 real and distinct roots, then
d
belongs to
A
(
−
∞
,
−
7
)
∪
(
20
,
∞
)
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B
(
−
20
,
7
)
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C
(
−
∞
,
−
20
)
∪
(
7
,
∞
)
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D
(
20
,
7
)
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Solution
The correct option is
B
(
−
20
,
7
)
Suggest Corrections
0
Similar questions
Q.
The range of values of
α
so that all the roots of the equation
2
x
3
−
3
x
2
−
12
x
+
α
=
0
are real distinct belongs to
Q.
Assertion :The equation
f
(
x
)
(
f
′′
(
x
)
)
2
+
f
(
x
)
f
′
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f
′′′
(
x
)
+
(
f
′
(
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)
)
2
f
′′
(
x
)
=
0
has atleast 5 real roots Reason: The equation
f
(
x
)
=
0
has atleast 3 real distinct roots & if
f
(
x
)
=
0
has k real distinct roots, then
f
′
(
x
)
=
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has atleast k-1 distinct roots.
Q.
The real number k for which the equation,
2
x
3
+
3
x
+
k
=
0
has two distinct real roots in [0, 1]
Q.
The set of values of 'a'for which the equation
x
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−
3
x
+
a
=
0
has three distinct real roots , is
Q.
If the quadratic equation
x
2
−
m
x
−
4
x
+
1
=
0
has real and distinct roots, then the values of
m
are
A.
(
−
∞
,
−
6
)
B.
(
−
∞
,
−
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C.
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D.
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