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Question
Mathematics
Line (x-2/3)=(y-3/4)=(z-4/0) is
Q. Line
3
x
−
2
=
4
y
−
3
=
0
z
−
4
is
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Rajasthan PET
Rajasthan PET 2002
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A
parallel to yz-plane
B
parallel to zx-plane
C
perpendicular to z-axis
D
parallel to z-axis
Solution:
3
x
−
2
=
4
y
−
3
=
0
z
−
4
Taking first and third terms
3
x
−
2
=
0
z
−
4
⇒
z
−
4
=
0
⇒
z
=
4
Hence, given line is perpendicular to z-axis.