Let \( z \) be a complex number satisfying \( |z|=3|z-1| \)
then the value of \( \left|z-\frac{9.... VIDEO
Let \( z \) be a complex number satisfying \( |z|=3|z-1| \)
\( \mathrm{P} \)
then the value of \( \left|z-\frac{9}{8}\right| \) is
(1) \( \frac{1}{4} \)
(2) \( \frac{3}{2} \)
(3) \( \frac{3}{8} \)
(4) None of these
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-23 If \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}^{2}\right|+\left|z_{2}^{2}\right| \) then.... 2024-01-23 If \( \alpha, \beta, \gamma \) are the roots of equations \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \om.... 2024-01-23 Let \( z=9+b i \), where \( b \) is non-zero real and \( i^{2}=-1 \). If the imaginary part of \.... 2024-01-23 Match the complex number given in the list-I with the corresponding arguments is
\begin{tabular}.... 2024-01-23 All non zero complex numbers \( z \) satisfying \( \bar{z}=i z^{2} \) is
(are).... 2024-01-23 If \( x=a+i b \) is a complex number such that \( x^{2}=3+ \)
\( 4 i \) and \( x^{3}=2+11 i \), .... 2024-01-23 If \( \left|\frac{z-2}{z-3}\right|=2 \) represents a circle, then
The center of the circle is.... 2024-01-23 The complex number \( z \) satisfying \( \operatorname{Re}\left(z^{2}\right)=0,|z|=\sqrt{3} \)
a.... 2024-01-23 The square roots of \( 5+12 i \) is (are)
(1) \( 3-2 i \)
(2) \( 3+2 i \)
(3) \( -3+2 i \)
(4) \.... 2024-01-23 If \( \left|\frac{z-2}{z-3}\right|=2 \) represents a circle, then
The radius of the circle is.... 2024-01-23 Let \( z \) be a complex number satisfying \( |z|=3|z-1| \)
then the value of \( \left|z-\frac{9.... 2024-01-23 If \( z+z^{-1}=1 \) then the value of \( z^{100}+z^{-100} \) is.... 2024-01-23 If \( \omega \) is a complex cube root of unity, then then value of \( (1+\omega)\left(1+\omega^.... 2024-01-23 The greatest value of \( \left|z_{1}+z_{2}\right| \) if \( z_{1}=24+7 i \) and \( \left|z_{2}\ri.... 2024-01-23 The argument of \( -5 \sqrt{3}+5 \sqrt{3} i \) is.... 2024-01-23 If \( \frac{1}{a+\omega}+\frac{1}{b+\omega}+\frac{1}{c+\omega}+\frac{1}{d+\omega}=\frac{1}{\omeg.... 2024-01-23 Simplify \( \frac{\sqrt{5+12 i}+\sqrt{5-12 i}}{\sqrt{5+12 i}-\sqrt{5-12 i}} \).... 2024-01-23 The number of pairs \( (x, y) \), where \( x, y \in N \) such that
\begin{tabular}{|l|l|l|l|}
\h.... 2024-01-23 If \( (x+i y)^{3}=u+i v \) then \( \frac{u}{x}+\frac{v}{y}=k\left(x^{2}-y^{2}\right) \). The
val.... 2024-01-23 If ' \( z \) ' is a complex number such that \( |z-\bar{z}|+|z+\bar{z}|=8 \), then the area boun.... 2024-01-23 If \( (a+b)-i(3 a+2 b)=5+2 i \) then....