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Byju's Answer
Standard XII
Mathematics
Equation of Planes Parallel to Axes
The equation ...
Question
The equation of a plane parallel to x - axis is
A
ax+by+cz+d=0
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B
ax+by+d=0
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C
by+cz+d=0
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D
ax+cz+d=0
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Solution
The correct option is
C
by+cz+d=0
For a plane parallel to x-axis, it should have no term dependent on 'x'.
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4
Similar questions
Q.
x + y + z + 1 = 0
ax + by + cz + d = 0
a
2
x + b
2
y + x
2
z + d
2
= 0
Q.
Suppose
p
,
q
,
r
≠
0
and the system of equations
(
p
+
a
)
x
+
b
y
+
c
z
=
0
a
x
+
(
q
+
b
)
y
+
c
z
=
0
a
x
+
b
y
+
(
r
+
c
)
z
=
0
has a non-trivial solution,then the value of
p
a
+
q
b
+
r
c
,
is
Q.
If the given planes
a
x
+
b
y
+
c
z
+
d
=
0
and
a
x
+
b
y
+
c
z
+
d
=
0
be mutually perpendicular, then
Q.
Assertion :The three planes
x
+
a
y
+
(
b
+
c
)
z
+
d
=
0
,
x
+
b
y
+
(
a
+
c
)
z
+
d
=
0
,
x
+
c
y
+
(
a
+
b
)
z
+
d
=
0
have a common line. Reason: The point
(
−
d
,
0
,
0
)
is common to all the three planes.
Q.
In the space the equation
b
y
+
c
z
+
d
=
0
represents a plane perpendicular to the plane:
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