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Tardigrade
Question
Mathematics
Let z1=(8+i) sin θ+(7+4 i) cos θ and z2=(1+8 i) sin θ+(4+7 i) cos θ are two complex numbers. If z1 ⋅ z2=a+i b ; a, b ∈ R. If M is the greatest value of (a+b) ∀ θ then the value of M1 / 3 is
Q. Let
z
1
=
(
8
+
i
)
sin
θ
+
(
7
+
4
i
)
cos
θ
and
z
2
=
(
1
+
8
i
)
sin
θ
+
(
4
+
7
i
)
cos
θ
are two complex numbers. If
z
1
⋅
z
2
=
a
+
ib
;
a
,
b
∈
R
. If
M
is the greatest value of
(
a
+
b
)
∀
θ
then the value of
M
1/3
is
166
115
Complex Numbers and Quadratic Equations
Report Error
Answer:
5
Solution:
Correct answer is (e)