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Mathematics
Problem
Let a plane pass through origin and is parallel to the line
x
−
1
2
=
y
+
3
−
1
=
z
+
1
−
2
\frac{x-1}{2} = \frac{y+3}{-1} = \frac{z+1}{-2}
2
x
−
1
=
−
1
y
+
3
=
−
2
z
+
1
such that distance between plane and the line is
5
3
\frac{5}{3}
3
5
. Then, equation of the plane is ..... a.
x
−
2
y
+
2
z
=
0
x - 2y + 2z = 0
x
−
2
y
+
2
z
=
0
b.
x
−
2
y
−
2
z
=
0
x - 2y - 2z = 0
x
−
2
y
−
2
z
=
0
c.
2
x
+
2
y
+
z
=
0
2x + 2y + z = 0
2
x
+
2
y
+
z
=
0
d.
x
+
y
+
z
=
0
x + y + z = 0
x
+
y
+
z
=
0
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