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Byju's Answer
Standard XII
Mathematics
Roots under Different Values of Coefficients
Both the root...
Question
Both the roots of
a
x
2
+
b
x
+
c
=
0
,
a
â‰
0
are of same sign then nature of
a
c
is ?
A
Negative
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B
Positive
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Solution
The correct option is
B
Positive
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Similar questions
Q.
Both the roots of
a
x
2
+
b
x
+
c
=
0
,
a
≠
0
are of same sign then nature of
a
c
is ?
Q.
If
a
+
b
+
c
=
0
,
a
≠
0
,
a
b
,
c
∈
Q
, then both the roots of the equation
a
x
2
+
b
x
+
c
=
0
are
Q.
If both roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
are -ve, then prove that
a
,
b
,
c
are of the same sign.
Q.
lf
x
∈
R
and the roots of
a
x
2
+
b
x
+
c
=
0
are non-real complex, then the sign of
a
2
x
2
+
a
b
x
+
a
c
is
Q.
If
a
and
4
a
+
3
b
+
2
c
have same sign. Then,
a
x
2
+
b
x
+
c
=
0
,
(
a
≠
0
)
cannot have both roots belonging to
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Standard XII Mathematics
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