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Byju's Answer
Standard XII
Mathematics
Cramer's Rule
If z1 = 0, z2...
Question
If z1 = 0, z2 = 3, z3 = 4i and z4 = 5 + 12 i then minimum value of |z – z1| + |z – z2| + |z – z3| + |z – z4| is equal to
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Q.
z
1
,
z
2
,
z
3
,
z
4
are the complex numbers satisfying
|
z
−
13
i
|
=
r
.
z
1
,
z
2
correspond to maximum and minimum moduli, whereas
z
3
,
z
4
represent maximum and minimum arguments. If
z
1
−
z
2
=
24
i
,
then
z
3
−
z
4
is equal to
Q.
Let
z
1
,
z
2
,
z
3
,
z
4
are four points in the Argand plane. If
z
is a point such that
|
z
−
z
1
|
=
|
z
−
z
2
|
=
|
z
−
z
3
|
=
|
z
−
z
4
|
, then the points
z
1
,
z
2
,
z
3
,
z
4
can lie on which among the following curves?
Q.
If
z
1
,
z
2
,
z
3
and
z
4
are the affixes of four points in the argand plane and
z
is the affix of a point such that
|
z
−
z
1
|
=
|
z
−
z
2
|
=
|
z
−
z
3
|
=
|
z
−
z
4
|
, then
z
1
,
z
2
,
z
3
,
z
4
are
Q.
If
z
1
,
z
2
,
z
3
,
z
4
are the affixes of four points in the Argand plane,
z
is the affix of a point such that
|
z
−
z
1
|
=
|
z
−
z
2
|
=
|
z
−
z
3
|
=
|
z
−
z
4
|
, then the points
z
1
,
z
2
,
z
3
,
z
4
can lie on which among the following curves
Q.
If
z
1
,
z
2
,
z
3
,
z
4
,
z
5
are roots of the equation
z
5
+
z
4
+
z
3
+
z
2
+
z
+
1
=
0
, then the value of
∣
∣ ∣
∣
5
∑
i
=
1
z
4
i
∣
∣ ∣
∣
is
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