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Tardigrade
Question
Mathematics
Direction cosines of the line (x+2/2) = (2y-5/3), z = -1 is
Q. Direction cosines of the line
2
x
+
2
=
3
2
y
−
5
,
z
=
−
1
is
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Three Dimensional Geometry
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A
5
4
,
5
3
,
0
30%
B
5
3
,
5
4
,
5
1
44%
C
−
5
3
,
5
4
,
0
19%
D
5
4
,
−
5
2
,
5
1
7%
Solution:
Given equation of line is
2
x
+
2
=
3
2
y
−
5
,
z
+
1
=
0
or
2
x
+
2
=
2
3
y
−
2
5
,
z
+
1
=
0
Hence,
D
R
of a line are
<
2
,
2
3
,
0
>
Now ,
2
2
+
(
2
3
)
2
+
0
=
4
+
4
9
=
4
25
=
2
5
∴
D
C
of a line are
<
5/2
2
,
5/2
3/2
,
0
>
or
<
5
4
,
5
3
,
0
>