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Byju's Answer
Standard XII
Mathematics
Direction Cosines
A line makes ...
Question
A line makes an angle
α
,
β
,
γ
with the
X
,
Y
,
Z
axes. Then
sin
2
α
+
sin
2
β
+
sin
2
γ
=
A
1
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B
2
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C
3
2
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D
4
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Solution
The correct option is
C
2
For a vector
cos
2
(
α
)
+
cos
2
(
β
)
+
cos
2
(
γ
)
=
1
1
−
sin
2
(
α
)
+
1
−
sin
2
(
β
)
+
1
−
sin
2
(
γ
)
=
1
sin
2
(
α
)
+
sin
2
(
β
)
+
sin
2
(
γ
)
=
3
−
1
=
2
Option B
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