If z1 = 2 + 3i, z2 = 5 + 7i then real part of (z1- z2) is
a) 3
b)-3
d)-5
c) 5
Answers
Step-by-step explanation:
arg(z) must be less than arg(z
2
) and greater than arg(z
1
).
∵z is lying on the line segment joining z
1
and z
2
.
∴arg(z
1
)≤arg(z)≤arg(z
2
)
⇒
2
π
+tan
−1
5
3
≤arg(z)≤π+tan
−1
5
3
we know, tan
−1
5
3
≈
6
π
∴
3
2π
≤arg(z)≤
6
7π
Thus optionD is correct.
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