\( a, b, c \) are three complex numbers on the unit circle \( |z|=1 \), such that \( a b c=a+b+c....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=iHVsIukBFC8



Duration: 1:31
2 views
0


\( a, b, c \) are three complex numbers on the unit circle
\( \mathrm{P} \)
\( |z|=1 \), such that \( a b c=a+b+c \). Then the value of \( |a b+b c+c a| \) is
W
(1) 0
(2) 2
(3) 1
(4) None of these


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-23If \( z_{r}: r=1,2,3, \ldots \ldots, 50 \) are the roots of the equation \( \sum_{r=0}^{50} z^{r....
2024-01-23The number of complex numbers \( z \) satisfying \( |z-3-i|=|z-9-i| \) and \( |z-3+3 i|=3 \) are....
2024-01-23If \( \left|\frac{z_{1}}{z_{2}}\right|=1 \) and \( \arg \left(z_{1} z_{2}\right)=0 \) then....
2024-01-23If \( \left|z_{1}\right|=15 \) and \( \left|z_{2}-3-4 i\right|=5 \) then....
2024-01-23If \( z_{1} \) and \( z_{2} \) are the complex roots of the equation \( (x-3)^{3}+1=0 \), then \....
2024-01-23If ' \( \alpha \) ' is complex fifth root of and \( \left(1+\alpha+\alpha^{2}+\alpha^{3}\right)^....
2024-01-23Number of ordered pairs \( (a, b) \) of real numbers such that \( (a+i b)^{2008}=a-i b \) holds ....
2024-01-23If \( z \) is a nonreal root of \( \sqrt[7]{-1} \), then the value of \( z^{86}+z^{175}+z^{289} ....
2024-01-23If \( \left|z_{1}\right|=1,\left|z_{2}\right|=2,\left|z_{3}\right|=3 \) and \( \left|9 z_{1} z_{....
2024-01-23The number of solutions the, system of equations ||\( z+4|-| z-3 i||=5 \) and \( |z|=4 \) has W.....
2024-01-23\( a, b, c \) are three complex numbers on the unit circle \( |z|=1 \), such that \( a b c=a+b+c....
2024-01-23If \( x=\omega-\omega^{2}-2 \), then the value of \( x^{4}+3 x^{3}+2 x^{2}-11 x-6 \) is (where \....
2024-01-23If \( |z| \leq 4 \) then the maximum value of \( |i z+3-4 i| \), is....
2024-01-23\( z_{1} \) and \( z_{2} \) are the roots of \( 3 z^{2}+3 z+b=0 \). If \( O(0),\left(z_{1}\right....
2024-01-23If \( \left|z_{1}-2\right| \leq 1,\left|z_{2}-3\right| \leq 3,\left|z_{3}-4\right| \leq 4 \) the....
2024-01-23If \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}^{2}\right|+\left|z_{2}^{2}\right| \) then....
2024-01-23If \( \alpha, \beta, \gamma \) are the roots of equations \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \om....
2024-01-23Let \( z=9+b i \), where \( b \) is non-zero real and \( i^{2}=-1 \). If the imaginary part of \....
2024-01-23Match the complex number given in the list-I with the corresponding arguments is \begin{tabular}....
2024-01-23All non zero complex numbers \( z \) satisfying \( \bar{z}=i z^{2} \) is (are)....
2024-01-23If \( x=a+i b \) is a complex number such that \( x^{2}=3+ \) \( 4 i \) and \( x^{3}=2+11 i \), ....