1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Range of Quadratic Expression
The minimum a...
Question
The minimum and maximum value of
y
=
x
2
−
x
+
4
x
2
+
x
+
4
will be
and
respectively.
A
3
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
5
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
5
3
y
=
x
2
−
x
+
4
x
2
+
x
+
4
⇒
(
y
−
1
)
x
2
+
(
y
+
1
)
x
+
4
y
−
4
⇒
(
y
+
1
)
2
−
16
(
y
−
1
)
2
≥
0
⇒
(
5
−
3
y
)
(
5
y
−
3
)
≥
0
⇒
(
3
y
−
5
)
(
5
y
−
3
)
≤
0
⇒
y
∈
(
3
5
,
5
3
]
Suggest Corrections
0
Similar questions
Q.
The minimum and maximum value of
y
=
x
2
−
x
+
4
x
2
+
x
+
4
will be
and
respectively.
Q.
The minimum and maximum value of
y
=
x
2
−
x
+
4
x
2
+
x
+
4
will be
and
respectively.