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Mathematics
Mathematics
Problem
Equation of a plane passing through the lines
2
x
−
y
+
z
−
3
=
0
,
3
x
+
y
+
z
−
5
=
0
2x - y + z - 3 = 0, 3x + y + z - 5 = 0
2
x
−
y
+
z
−
3
=
0
,
3
x
+
y
+
z
−
5
=
0
and which is at a distance of
1
6
\frac{1}{\sqrt{6}}
6
1
from the point
(
2
,
1
,
−
1
)
(2, 1, -1)
(
2
,
1
,
−
1
)
is a.
2
x
−
y
+
z
−
3
=
0
2x - y + z - 3 = 0
2
x
−
y
+
z
−
3
=
0
b.
3
x
+
y
+
z
−
5
=
0
3x + y + z - 5 = 0
3
x
+
y
+
z
−
5
=
0
c.
62
x
+
29
y
+
19
z
−
105
=
0
62x + 29y + 19z - 105 = 0
62
x
+
29
y
+
19
z
−
105
=
0
d.
x
+
2
y
−
2
=
0
x + 2y - 2 = 0
x
+
2
y
−
2
=
0
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