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AIEEE 2006 Solved Paper
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© examsnet.com
Question : 115
Total: 143
If
x
is real, the maximum value of
3
x
2
+
9
x
+
17
3
x
2
+
9
x
+
7
is
1
4
41
1
17
7
Validate
Solution:
y
=
3
x
2
+
9
x
+
17
3
x
2
+
9
x
+
7
3
x
2
(
y
−
1
)
+
9
x
(
y
−
1
)
+
7
y
−
17
=
0
D
≥
0
as
x
is real
81
(
y
−
1
)
2
−
4
×
3
(
y
−
1
)
(
7
y
−
17
)
≥
0
⇒
(
y
−
1
)
(
y
−
41
)
≤
0
⇒
1
≤
y
≤
41
∴
Max value of
y
is 41
© examsnet.com
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