Prove that the complex numbers \( z_{1}, z_{2} \) and the origin fo... VIDEO
Prove that the complex numbers \( z_{1}, z_{2} \) and the origin form an equilateral triangle only if \( z_{1}^{2}+z_{2}^{2}-z_{1} z_{2}=0 \).
\( \mathrm{P} \)
\( (1983,2 \mathrm{M}) \)
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-16 A gas which exists in three allotropic forms \( \alpha, \beta \) an... 2023-02-16 Let the complex numbers \( z_{1}, z_{2} \) and \( z_{3} \) be the v... 2023-02-16 Which of the following pairs of nitrates gives the same gaseous pro... 2023-02-16 Which of the following statements is/are correct regarding \( \math... 2023-02-16 A man walks a distance of 3 units from the origin towards the North... 2023-02-16 Match List-I with List-II
List-I Chemical reaction
List-II Name of ... 2023-02-16 When \( \mathrm{I}_{2} \) is passed through \( \mathrm{KCl}, \mathr... 2023-02-16 \( \mathrm{HNO}_{3}+\mathrm{P}_{4} \mathrm{O}_{10} \longrightarrow ... 2023-02-16 Show that the area of the triangle on the argand diagram formed by ... 2023-02-16 Helium is obtained from which of the following.?
(A) Natural gases ... 2023-02-16 Prove that the complex numbers \( z_{1}, z_{2} \) and the origin fo... 2023-02-16 Complex numbers \( z_{1}, z_{2}, z_{3} \) are the vertices \( A, B,... 2023-02-16 Borax is actually made of two tetrahedral and two triangular units ... 2023-02-16 \[
\mathrm{Ca}+\mathrm{C}_{2} \longrightarrow \mathrm{CaC}_{2} \sta... 2023-02-16 Let \( z_{1} \) and \( z_{2} \) be the roots of the equation \( z^{... 2023-02-16 If one of the vertices of the square circumscribing the circle \( |... 2023-02-16 One mole of calcium phosphide on reaction with excess of water give... 2023-02-16 Three allotropes (A), (B) and \( (\mathrm{C}) \) of phosphorous in ... 2023-02-16 The statement, which prompted Neil Bartlett to prepare the first no... 2023-02-16 The molecular shapes of diborane is shown:
Consider the following s... 2023-02-16 Suppose \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilatera...