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KEAM 2019 Math Paper
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© examsnet.com
Question : 52
Total: 121
The equation
sin
(
e
x
)
=
5
x
+
5
−
x
has exactly how many solutions ?
1
2
0
3
infinite
Validate
Solution:
Given,
sin
(
e
x
)
=
5
x
+
5
−
x
put
5
x
=
y
Then,
sin
(
e
x
)
=
y
+
1
y
=
(
√
y
−
1
√
y
)
2
+
2
[
∵
5
x
>
0
]
sin
(
e
x
)
≥
2
The given equation has no solution.
© examsnet.com
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