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Mathematics
Problem
Consider
z
1
z_1
z
1
and
z
2
z_2
z
2
are two complex numbers such that
∣
z
1
+
z
2
∣
=
∣
z
1
∣
+
∣
z
2
∣
|z_1 + z_2| = |z_1| + |z_2|
∣
z
1
+
z
2
∣
=
∣
z
1
∣
+
∣
z
2
∣
Statement-1
amp
(
z
1
)
−
amp
(
z
2
)
=
0
\text{amp}(z_1) - \text{amp}(z_2) = 0
amp
(
z
1
)
−
amp
(
z
2
)
=
0
Statement-2
The complex numbers
z
1
z_1
z
1
and
z
2
z_2
z
2
are collinear with origin.
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