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Byju's Answer
Standard XII
Physics
Introduction
If the equati...
Question
If the equation
a
x
2
+
2
b
x
−
3
c
=
0
has non-real roots then
c
is
A
<
0
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B
>
0
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C
≥
0
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D
=
0
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Solution
The correct option is
A
<
0
Suggest Corrections
0
Similar questions
Q.
lf the equation
a
x
2
+
2
b
x
−
3
c
=
0
has non-real roots and
3
c
4
<
a
+
b
, then
c
is always
Q.
If the equation
a
x
2
+
2
b
x
+
c
=
0
;
a
,
b
,
c
∈
R
has real roots and
m
,
n
are real such that
m
2
>
n
>
0
, then the equation
a
x
2
+
2
m
b
x
+
n
c
=
0
has
Q.
If
a
+
b
+
c
>
9
c
4
and quadratic equation
a
x
2
+
2
b
x
−
5
c
=
0
has non-real, then
Q.
Assertion :If
a
>
0
and
b
2
−
a
c
+
c
<
0
,then domain of the function
f
(
x
)
=
√
a
x
2
+
2
b
x
+
c
is
R
Reason: If
b
2
−
a
c
<
0
,then
a
x
2
+
2
b
x
+
c
=
0
has imaginary roots.
Q.
If a,b,c >0 and
a
=
2
b
+
3
c
, then the roots of the equation
a
x
2
+
b
x
+
c
=
0
are real if
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