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Mathematics
Mathematics
Problem
For the line
x
−
1
1
=
y
−
2
2
=
z
−
3
3
\frac{x-1}{1} = \frac{y-2}{2} = \frac{z-3}{3}
1
x
−
1
=
2
y
−
2
=
3
z
−
3
, which one of the following is incorrect ? a. It lies in the plane
x
−
2
y
+
z
=
0
x - 2y + z = 0
x
−
2
y
+
z
=
0
. b. It is same as line
x
1
=
y
2
=
z
3
\frac{x}{1} = \frac{y}{2} = \frac{z}{3}
1
x
=
2
y
=
3
z
. c. It passes through
(
2
,
3
,
5
)
(2, 3, 5)
(
2
,
3
,
5
)
. d. It is parallel to the plane
x
−
2
y
+
z
−
6
=
0
x - 2y + z - 6 = 0
x
−
2
y
+
z
−
6
=
0
.
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