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Mathematics Crash Course JEE Advanced
>
Chapter 27 - Three Dimensional Geometry
>
Exercise 1
>
Q 22
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HARD
Mathematics
IMPORTANT
Earn 100
Consider the planes
P
1
:
2
x
+
y
+
z
+
4
=
0
,
P
2
:
y
-
z
+
4
=
0
and
P
3
:
3
x
+
2
y
+
z
+
8
=
0
.
Let
L
1
,
L
2
,
L
3
be the lines of intersection of the planes
P
2
&
P
3
,
P
3
&
P
1
, and
P
1
&
P
2
, respectively. Then,
(a)
at least two of the lines
L
1
,
L
2
&
L
3
are non-parallel.
(b)
at least two of the lines
L
1
,
L
2
&
L
3
are parallel.
(c)
the three planes intersect in a line.
(d)
the three planes form a triangular prism.
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Important Questions on Three Dimensional Geometry
HARD
Mathematics
IMPORTANT
Mathematics Crash Course JEE Advanced
>
Chapter 27 - Three Dimensional Geometry
>
Exercise 1
>
Q 29
Let
P
be an arbitrary point having sum of the squares of the distance from the planes
x
+
y
+
z
=
0
,
l
x
-
n
z
=
0
and
x
-
2
y
+
z
=
0
equal to
9
units. If the locus of the point
P
is
x
2
+
y
2
+
z
2
=
9
,
then the value of
l
-
n
is equal to
