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Byju's Answer
Standard XI
Mathematics
Argument of a Complex Number
If cosα=-12/1...
Question
If
cos
α
=
−
12
13
,
cot
β
=
24
7
,
90
∘
<
α
<
180
∘
and
180
∘
<
β
<
270
∘
,
then the quadrant in which
α
+
β
lies
A
I
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B
I
I
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C
I
I
I
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D
I
V
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Solution
The correct option is
D
I
V
90
∘
<
α
<
180
∘
and
180
∘
<
β
<
270
∘
⇒
270
∘
<
α
+
β
<
450
∘
⇒
α
+
β
ϵ
I
(
o
r
)
I
V
T
a
n
(
α
+
β
)
=
−
5
12
+
7
24
1
−
[
−
5
12
]
.
7
24
< 0.
∴
α
+
β
ϵ
I
V
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4
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If
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∘
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