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Byju's Answer
Standard XII
Mathematics
Distinguishing between Conics from General Equation and Eccentricity
Write the equ...
Question
Write the equation of the plane passing through (2, −1, 1) and parallel to the plane 3x + 2y −z = 7.
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Solution
Let the equation of a plane parallel to the given plane be
3
x
+
2
y
-
z
=
k
.
.
.
1
This passes through (2, -1, 1). So,
3
2
+
2
-
1
-
1
=
k
⇒
k
=
3
Substituting this in (1), we get
3
x
+
2
y
-
z
=
3
,
which is the equation of the required plane.
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