1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Coordinate Axes in Three Dimensional Space
The equation ...
Question
The equation of plane passing through
(
−
1
,
0
,
−
1
)
parallel to
x
z
plane is
A
y
=
−
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
−
x
−
z
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
D
y
=
0
Given that the plane is parallel to
x
z
plane and the plane passes through
(
−
1
,
0
,
−
1
)
Since the plane is parallel to
x
z
plane , the
y
coordinate should be constant
Given that it passes through point
(
−
1
,
0
,
−
1
)
, therefore the plane lies on
x
z
plane
Therefore the equation of plane is
y
=
0
The correct options are
B
Suggest Corrections
0
Similar questions
Q.
The equation of the plane passing through (1, 2, 3) and parallel to the plane
2
x
+
3
y
-
4
z
=
0
is __________.
Q.
Find the equation of the plane which is parallel to 2x − 3y + z = 0 and which passes through (1, −1, 2).
Q.
Find the equation plane passing through points
(
1
,
2
,
3
)
,
(
0
,
−
1
,
0
)
and parallel to the line
x
−
1
2
=
y
+
2
3
=
z
−
3
Q.
Find the equation of the plane which contains the line of intersection of the planes x
+
2y
+
3
z
-
4
=
0 and 2
x
+
y
-
z
+
5
=
0 and whose x-intercept is twice its z-intercept. Hence, write the equation of the plane passing through the point (2, 3,
-
1) and parallel to the plane obtained above.
Q.
Find the equation of plane passing through the intersection of the planes
2
x
+
3
y
−
z
+
1
=
0
and
x
+
y
−
2
z
+
3
=
0
and perpendicular to the plane
3
x
−
y
−
2
z
−
4
=
0
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Coordinate Axes in 3D Space
MATHEMATICS
Watch in App
Explore more
Coordinate Axes in Three Dimensional Space
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app