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Byju's Answer
Standard XII
Mathematics
Range of a Quadratic Expression
For any quadr...
Question
For any quadratic expression
y
=
a
x
2
+
b
x
+
c
;
a
<
0
,
y
approaches towards
+
∞
as
x
→
±
∞
.
A
True
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B
False
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Solution
The correct option is
B
False
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Similar questions
Q.
For any quadratic expression
y
=
a
x
2
+
b
x
+
c
,
where
a
>
0
&
D
<
0
,
y
<
0
for
Q.
For any quadratic expression
y
=
a
x
2
+
b
x
+
c
,
a
≠
0
the
x
−
intercepts will give the roots of
a
x
2
+
b
x
+
c
=
0
.
Q.
For any quadratic expression
y
=
a
x
2
+
b
x
+
c
,
a
<
0.
It's range will be
Q.
For the quadratic expression
y
=
a
x
2
+
b
x
+
c
,
a
<
0.
The maximum value of
y
occurs at
Q.
For any quadratic expression
y
=
a
x
2
+
b
x
+
c
,
if
a
<
0
&
D
>
0
,
then it's graph will intersect the
x
−
axis at
1
point.
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