1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Image of a Point with Respect to a Line
The image of ...
Question
The image of
x
+
y
+
z
+
1
=
0
, through the plane
2
x
–
4
y
+
2
z
+
4
=
0
,
is
A
2
x
+
2
y
+
2
z
+
λ
1
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x
+
y
+
z
+
1
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x
+
y
+
z
+
λ
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x
+
y
+
z
+
4
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
x
+
y
+
z
+
λ
=
0
Because planes are perpendicular hence image will be the same plane.
Suggest Corrections
0
Similar questions
Q.
Find the image point of plane
x
+
y
+
z
=
2
in the plane (w.r.t. plane)
2
x
−
y
+
2
z
−
1
=
0
.
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
.
Q.
Find the equation of the plane passing through the intersection of the planes 2x + 3y − z + 1 = 0 and x + y − 2z + 3 = 0 and perpendicular to the plane 3x − y − 2z − 4 = 0.
Q.
The equation of a plane containing the line of intersection of the planes
2
x
−
y
−
4
=
0
and
y
+
2
z
−
4
=
0
and passing through the point
(
1
,
1
,
0
)
is:
Q.
The point of contact of the plane
2
x
−
2
y
+
z
+
12
=
0
and sphere
x
2
+
y
2
+
z
2
−
2
x
−
4
y
+
2
z
−
3
=
0
is
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
Image of a Point with Respect to 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