If \( \omega \) is a cube root of unity but not equal to 1 , then m... VIDEO
If \( \omega \) is a cube root of unity but not equal to 1 , then minimum value of \( \left|a+b \omega+c \omega^{2}\right| \), (where \( a, b \) and \( c \) are
\( \mathrm{P} \) integers but not all equal), is
W
[IIT-JEE 2005, 3M]
(a) 0
(b) \( \frac{\sqrt{3}}{2} \)
(c) 1
(d) 2
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-03-21 The set \( \left\{\operatorname{Re}\left(\frac{2 i z}{1-z^{2}}\righ... 2023-03-21 Let \( \omega \) be the complex number \( \cos \frac{2 \pi}{3}+i \s... 2023-03-21 If \( z \) is any complex number satisfying \( |z-3-2 i| \leq 2 \),... 2023-03-21 The number of complex numbers such that \( |z-1|=|z+1|=|z-i| \), wh... 2023-03-21 If \( \alpha \) and \( \beta \) are the roots of the equation \( x^... 2023-03-21 Let \( z_{1} \) and \( z_{2} \) be two distinct complex numbers and... 2023-03-21 \( \mathrm{I}^{f} \omega=\frac{z}{z-\frac{1}{3} i} \) and \( |\omeg... 2023-03-21 Let \( A, B \) and \( C \) be three sets of complex numbers as defi... 2023-03-21 If one of the vertices of the square circumscribing the circle \( |... 2023-03-21 Prove that the roots of the equation \( 8 x^{3}-4 x^{2}-4 x+1=0 \) ... 2023-03-21 If \( \omega \) is a cube root of unity but not equal to 1 , then m... 2023-03-21 If \( z_{1} \) and \( z_{2} \) are two non-zero complex numbers, su... 2023-03-21 If \( 1, \omega, \omega^{2} \) are the cube roots of unity, then th... 2023-03-21 If the complex number \( z \) is to satisfy \( |z|=3,|z-\{a(1+i)-i\... 2023-03-21 \( P Q \) and \( P R \) are two infinite rays. \( Q A R \) is an ar... 2023-03-21 Prove that, if \( z_{1} \) and \( z_{2} \) are two complex numbers ... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason)
Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques... 2023-03-21 Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...