The cube roots of unity when represented on Argand diagram form the vertices of an equilateral t... VIDEO
The cube roots of unity when represented on Argand diagram form the vertices of an equilateral triangle.
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 \( |z| \leq 1,|\omega| \leq 1 \), then show that \( |z-\omega|^{2} \leq(|z|-|\omega|)^{2}+(\arg ... 2023-07-03 A metre scale is balanced on a knife edge at its centre. When two coins, each of mass \( 10 \mat... 2023-07-03 Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of sym... 2023-07-03 Let \( P\left(e^{i \alpha / 1}\right), Q\left(e^{i \alpha / 2}\right), R\left(e^{i \alpha / 3}\r... 2023-07-03 If \( 0\alpha\frac{\pi}{2} \) is a fixed angle. If \( P=(\cos \theta, \sin \theta) \) and \( Q \... 2023-07-03 Let \( A=\left\{z \in C:\left|\frac{z+1}{z+1}\right|1\right\} \) and
\[
B=\left\{z \in C: \arg \... 2023-07-03 Let \( O \) be the origin and \( A \) be the point \( z_{1}=1+2 i \). If \( B \) is the point \(... 2023-07-03 For \( n \in N \) let
\( S_{n}=\left\{z \in C:|z-3+2 i|=\frac{n}{4}\right\} \) and
\[
T_{n}=\lef... 2023-07-03 Let \( S_{1}, S_{2} \) and \( S_{3} \) be three sets defined as
\[
\begin{array}{l}
S_{1}=\{z \i... 2023-07-03 Let \( A=\{z \in C: 1 \leq|z-(1+i)| \leq 2\} \) and \( B=\{z \in A: \mid \) \( z-(1-i) \mid=1\} ... 2023-07-03 The cube roots of unity when represented on Argand diagram form the vertices of an equilateral t... 2023-07-03 Let \( S=z \in C:|z-3| \leq 1 \) and \( z(4+3 i)+\bar{z}(4-3 i) \leq 24 \).
If \( \alpha+i \beta... 2023-07-03 The area of the triangle with vertices \( A(z), B(i z) \) and \( C(z+ \) \( i z) \) is :
(a) \( ... 2023-07-03 On the Argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are respectively the vertices of an isosc... 2023-07-03 Let \( \mathrm{z} \) be those complex numbers which satisfy \( |z+5| \leq 4 \) and \( z(1+i)+\ba... 2023-07-03 Show that all roots of the equation \( a_{0} z^{n}+a_{1} z^{n-1}+\ldots+a_{n-1} z \) \( +a_{n}=n... 2023-07-03 If \( P \) is a point on the Aragand diagram. On the circle with \( O P \) as diameter two point... 2023-07-03 \( z_{1}, z_{2} \) and \( z_{3} \) are three non-zero complex numbers such that \( z_{1} \neq z_... 2023-07-03 If \( z_{1} \) and \( z_{2} \) are two complex number and if \( \arg \frac{z_{1}+z_{2}}{z_{1}-z_... 2023-07-03 Let \( A \equiv z_{1} ; B \equiv z_{2} ; C \equiv z_{3} \) are three complex numbers denoting th... 2023-07-03 Let \( z_{1}, z_{2}, z_{3} \) are three pair wise distinct complex numbers and \( t_{1}, t_{2}, ...