A complex number \( z \) is said to be unimodular if \( |z|=1 \).
S... VIDEO
A complex number \( z \) is said to be unimodular if \( |z|=1 \).
Suppose \( z_{1} \) and \( z_{2} \) are complex numbers such that
P \( \frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}} \) is unimodular and \( z_{2} \) is not unimodular. Then
W the point \( z_{1} \) lies on a
[JEE Main 2015, 4M]
(a) circle of radius \( z \)
(b) circle of radius \( \sqrt{2} \)
(c) straight line parallel to \( X \)-axis
(d) straight line parallel to \( Y \)-axis
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-16 A car accelerates from rest at a constant rate \( \alpha \) for som... 2023-02-16 Calcium bicarbonate is known in solid state.
\( \mathrm{P} \) 2023-02-16 These questions consist of two statements each, printed as assertion and reason, while answering... 2023-02-16 These questions consist of two statements each, printed as assertion and reason, while answering... 2023-02-16 The incorrect statement(s) is/are:
\( \mathrm{P} \)
(A) Mg cannot f... 2023-02-16 A body starts from rest, what is the ratio of the distance travelle... 2023-02-16 Setting of cement is an endothermic process.
\( \mathrm{P} \)
W 2023-02-16 Fire extinguishers contain :
(A) conc. \( \mathrm{H}_{2} \mathrm{SO... 2023-02-16 The velocity of train increases uniformly from \( 20 \mathrm{~km} /... 2023-02-16 The water drop falls at regular intervals from a tap 5 \( \mathrm{m... 2023-02-16 A complex number \( z \) is said to be unimodular if \( |z|=1 \).
S... 2023-02-16 Let \( \omega \) be a complex number such that \( 2 \omega+1=z \), ... 2023-02-16 Let \( z=x+i y \) be a complex number, where \( x \) and \( y \) ar... 2023-02-16 These questions consist of two statements each, printed as assertion and reason, while answering... 2023-02-16 \( \mathrm{KO}_{2} \) finds use in oxygen cylinders used for space ... 2023-02-16 If \( z \) is a complex number of unit modulus and argument \( \the... 2023-02-16 Evaluate the following integrals
P
\[
\int \sqrt{\frac{x}{a^{3}-x^{... 2023-02-16 A body dropped from a height \( h \) with initial velocity zero, st... 2023-02-16 If \( z \) is a complex number such that \( |z| \geq 2 \), then the... 2023-02-16 The compound(s) which have -O-O-bond(s) is/are:
(A) \( \mathrm{BaO}... 2023-02-16 A value of \( \theta \) for which \( \frac{2+3 i \sin \theta}{1-2 i...