Test Index

Complex Numbers

Section: Mathematics

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Question : 30

Total: 36

Let z1 and z2 be two distinct complex numbers and let z = (1 − t) z1+tz2 for some real number t with 0 < t < 1. If Arg(w) denotes the principal argument of a non-zero complex number w, then

[JEE Adv 2010 P1]

|z−z1|+|z−z2| = |z1−z2|
Arg (z−z1) = Arg (z−z2)
|
z−z1
−
z
−
−
z1
z2−z1
−
z2
−
−
z1
| = 0
Arg (z−z1) = Arg (z−2−z−1)

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