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Tardigrade
Question
Mathematics
If Z=a+i b, then modulus of Z, denoted by ...A.. is defined to be non-negative real number ...B... . Here, A and B refer to
Q. If
Z
=
a
+
ib
, then modulus of
Z
, denoted by ...A.. is defined to be non-negative real number ...B... . Here, A and B refer to
443
160
Complex Numbers and Quadratic Equations
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A
∣
Z
∣
,
a
2
+
b
2
B
Z
,
a
2
+
b
2
C
Z
,
a
2
+
b
2
D
Z
,
a
2
−
b
2
Solution:
Let
z
=
a
+
ib
be a complex number. Then, modulus of
z
, denoted by
∣
z
∣
, is defined to be non-negative real number
a
2
+
b
2
i.e.,
∣
z
∣
=
a
2
+
b
2
.