Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Mathematics
If z1=√2[ cos (π/4)+i sin (π/4)] and z2=√3[ cos (π/3)+i sin (π/3)] then |z1 z2| is equal to √m. Value of m is
Q. If
z
1
=
2
[
cos
4
π
+
i
sin
4
π
]
and
z
2
=
3
[
cos
3
π
+
i
sin
3
π
]
then
∣
z
1
z
2
∣
is equal to
m
. Value of
m
is
2103
201
Complex Numbers and Quadratic Equations
Report Error
A
6
75%
B
3
12%
C
2
0%
D
5
12%
Solution:
z
1
=
2
[
cos
4
π
+
i
sin
4
π
]
=
2
[
2
1
+
i
2
1
]
=
1
+
i
∣
z
1
∣
=
2
and
z
2
=
3
[
cos
3
π
+
i
sin
3
π
]
=
3
[
2
1
+
i
2
3
]
∣
z
2
∣
=
4
3
+
4
9
=
3
∣
z
1
z
2
∣
=
∣
z
1
∣
∣
z
2
∣
=
2
⋅
3
=
6