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Byju's Answer
Standard XII
Mathematics
Test for Collinearity of Vectors
If cos x- s...
Question
If
cos
x
−
sin
x
≥
1
and
0
≤
x
≤
2
π
then the solution set for
x
is :
A
[
0
,
π
4
]
∪
[
7
π
4
,
2
π
]
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B
[
3
π
2
,
7
π
4
],
∪
{0}
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C
[
3
π
2
,
2
π
],
∪
{0}
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D
None of these
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Solution
The correct option is
C
[
3
π
2
,
2
π
],
∪
{0}
Given:
cos
x
−
sin
x
≥
1
and
0
≤
x
<
2
x
To find the solution set for
x
.
The graph of
1
+
s
i
n
x
is the sine graph above
y
=
1
line.
According to equation,
The shaded portion is the required region and intends from
x
∈
[
3
π
2
,
2
π
]
Hence the solution set of
x
∈
[
3
π
2
,
2
π
]
,
∪
{
0
}
∴
The correct option is (c)
[
3
π
2
,
2
π
],
∪
{0}
Suggest Corrections
0
Similar questions
Q.
If
cos
x
−
sin
x
≥
1
and
0
≤
x
≤
2
π
, then the solution set for
x
is
Q.
If
sin
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+
cos
x
=
√
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2
+
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y
2
for
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∈
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has a solution, then which of the following is/are correct?
Q.
The number of solutions of
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|
,
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≤
x
≤
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π
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Q.
If
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∈
(
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π
2
,
2
π
)
, then the value of the expression
sin
−
1
[
cos
{
cos
−
1
(
cos
x
)
+
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−
1
(
sin
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)
}
]
Q.
If
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