1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Equation of Perpendicular from a Point on a Line
Equation of p...
Question
Equation of plane parallel to z-axis.
A
a
x
+
b
y
+
d
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
b
x
+
c
z
+
d
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
b
y
+
c
z
+
d
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
a
x
+
b
y
+
d
=
0
Any line in the x-y plane, which can be written as
a
x
+
b
y
+
c
=
0
, would be perpendicular to z axis.
Since the equation of a plane has the direction ratio of its normal as its coefficients, the plane equation can be written as
a
x
+
b
y
+
d
=
0
Suggest Corrections
0
Similar questions
Q.
The equation of the plane through the line of intersection of planes
a
x
+
b
y
+
c
z
+
d
=
0
,
a
′
x
+
b
′
y
+
c
′
z
+
d
′
=
0
and parallel to the lines
y
=
0
=
z
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.
The equation of the plane through the line of intersection of the planes
a
x
+
b
y
+
c
z
+
d
=
0
and
a
′
x
+
b
′
y
+
c
′
z
+
d
′
=
0
and parallel to the line
y
=
0
and
z
=
0
is-
Q.
Find the equation of the plane through the line
P
=
a
x
+
b
y
+
c
z
+
d
=
0
,
Q
=
a
′
x
+
b
′
y
+
c
′
z
+
d
′
=
0
and parallel to the line
x
l
=
y
m
=
z
n
.
Q.
If the equation of the plane passing through
(
4
,
0
,
1
)
and parallel to the plane
4
x
+
3
y
−
12
z
+
6
=
0
is
a
x
+
b
y
+
c
z
=
d
,
(
a
>
0
)
, then
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
Foot of Perpendicular, Image and Angle Bisector
MATHEMATICS
Watch in App
Explore more
Equation of Perpendicular from a Point on a Line
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