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KEAM 2017 Math Paper
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© examsnet.com
Question : 31
Total: 120
If x ∈ [0,π / 2],y∈[0,π / 2] and sin x + cos y = 2, then the value of x + y is equal to
2π
π
π / 4
π / 2
0
Validate
Solution:
We have
sin
x
+
cos
y
=
2
since,
x
∈
[
0
,
π
2
]
and
y
∈
[
0
,
π
2
]
∴
sin
x
=
1
and
cos
y
=
1
⇒
x
=
π
2
and
y
=
0
∴
x
+
y
=
π
2
+
0
=
π
2
© examsnet.com
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