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Mathematics
Mathematics
Problem
The plane
x
−
y
−
z
=
4
x - y - z = 4
x
−
y
−
z
=
4
is rotated through an angle
90
∘
90^\circ
9
0
∘
about its line of intersection with the plane
x
+
y
+
2
z
=
4
x + y + 2z = 4
x
+
y
+
2
z
=
4
. Then the equation of the plane in its new position is a.
x
+
y
+
4
z
=
20
x + y + 4z = 20
x
+
y
+
4
z
=
20
b.
x
+
5
y
+
4
z
=
20
x + 5y + 4z = 20
x
+
5
y
+
4
z
=
20
c.
x
+
y
−
4
z
=
20
x + y - 4z = 20
x
+
y
−
4
z
=
20
d.
5
x
+
y
+
4
z
=
20
5x + y + 4z = 20
5
x
+
y
+
4
z
=
20
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