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UPSC NDA I 2018 Mathematics Solved Paper
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© examsnet.com
Question : 84
Total: 120
If f: R → S defined by
f
(
x
)
=
4
s
i
n
x
−
3
c
o
s
x
+
1
is on to, then what is S equal to?
[NDA I 2018]
[
−
5
,
5
]
(
−
5
,
5
)
(−4, 6)
[
−
4
,
6
]
Validate
Solution:
👈: Video Solution
∵
f
(
x
)
=
4
secx
−
3
cosx
+
1
Minimum
f
=
√
4
2
+
(
−
3
)
2
+
1
=
−
4
Maximum
f
=
√
4
2
+
(
−
3
)
2
+
1
=
6
S = Range of f
= [Minimum f, maximum f]
=
[
−
4
,
6
]
© examsnet.com
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