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Other
Quantitative Aptitude
Solid Geometry
The Z= 0 plan...
Question
The Z= 0 plane is
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Q.
If
|
z
1
|
=
|
z
2
|
=
|
z
3
|
=
|
z
4
|
and
z
1
+
z
2
+
z
3
+
z
4
=
0
then the points
z
1
,
z
2
,
z
3
,
z
4
in the Argand plane are the vertices of a
Q.
If
z
1
,
z
2
,
z
3
are the vertices of a triangle in argand plane such that
|
z
1
−
z
2
|
=
|
z
1
−
z
3
|
,
then
arg
(
2
z
1
−
z
2
−
z
3
z
3
−
z
2
)
is
Q.
If
z
1
,
z
2
,
z
3
are the vertices of a triangle in argand plane such that
|
z
1
−
z
2
|
=
|
z
1
−
z
3
|
,
then
arg
(
2
z
1
−
z
2
−
z
3
z
3
−
z
2
)
is
Q.
Let
z
1
,
z
2
,
z
3
∈
C such that
|
z
1
|
=
|
z
2
|
=
|
z
3
|
=
1
. If
z
1
+
z
2
+
z
3
≠
0
and
z
2
1
+
z
2
2
+
z
2
3
=
0
, then
|
z
1
+
z
2
+
z
3
|
is
Q.
In the argand plane, the distinct roots of
1
+
z
+
z
3
+
z
4
=
0
(
z
is a complex number) represent vertices of
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