\( a, b, c \) are three complex numbers on the unit circle
\( |z|=1 \), such that \( a b c=a+b+c.... VIDEO
\( a, b, c \) 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 2024-01-23 If \( z_{r}: r=1,2,3, \ldots \ldots, 50 \) are the roots of the equation
\( \sum_{r=0}^{50} z^{r.... 2024-01-23 The number of complex numbers \( z \) satisfying
\( |z-3-i|=|z-9-i| \) and \( |z-3+3 i|=3 \) are.... 2024-01-23 If \( \left|\frac{z_{1}}{z_{2}}\right|=1 \) and \( \arg \left(z_{1} z_{2}\right)=0 \) then.... 2024-01-23 If \( \left|z_{1}\right|=15 \) and \( \left|z_{2}-3-4 i\right|=5 \) then.... 2024-01-23 If \( z_{1} \) and \( z_{2} \) are the complex roots of the equation \( (x-3)^{3}+1=0 \), then \.... 2024-01-23 If ' \( \alpha \) ' is complex fifth root of and
\( \left(1+\alpha+\alpha^{2}+\alpha^{3}\right)^.... 2024-01-23 Number of ordered pairs \( (a, b) \) of real numbers such
that \( (a+i b)^{2008}=a-i b \) holds .... 2024-01-23 If \( z \) is a nonreal root of \( \sqrt[7]{-1} \), then the value of \( z^{86}+z^{175}+z^{289} .... 2024-01-23 If \( \left|z_{1}\right|=1,\left|z_{2}\right|=2,\left|z_{3}\right|=3 \) and
\( \left|9 z_{1} z_{.... 2024-01-23 The 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.... 2024-01-23 If \( x=\omega-\omega^{2}-2 \), then the value of
\( x^{4}+3 x^{3}+2 x^{2}-11 x-6 \) is (where \.... 2024-01-23 If \( |z| \leq 4 \) 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.... 2024-01-23 If \( \left|z_{1}-2\right| \leq 1,\left|z_{2}-3\right| \leq 3,\left|z_{3}-4\right| \leq 4 \) the.... 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 \( x^{3}=2+11 i \), ....