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NDA Math Sets Relations and Functions
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© examsnet.com
Question : 40
Total: 90
If
f
(
x
)
=
3
x
2
−
5
x
+
p
and
f
(
0
)
and
f
(
1
)
are opposite in sign, then which of the following is correct?
[NDA-I 2020]
−
2
<
p
<
0
−
2
<
p
<
2
0
<
p
<
2
3
<
p
<
5
Validate
Solution:
👈: Video Solution
f
(
0
)
=
3
(
0
)
2
−
5
(
0
)
+
P
=
P
f
(
1
)
=
3
(
1
)
2
−
5
(
1
)
+
P
=
P
−
2
Clearly,
f
(
0
)
and
f
(
1
)
are opposite in sign.
∴
P
>
0
and
P
−
2
<
0
⇒
0
<
P
<
2
© examsnet.com
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