Question
Download Solution PDFω3n + ω3n+1 + ω3n+2 का मान क्या है जहां ω एकत्व का घन मूल है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
एकत्व के घन मूल 1, ω और ω2 हैं
यहाँ, ω = \(\frac{{ - {\rm{\;}}1{\rm{\;}} + {\rm{\;\;i}}\sqrt 3 }}{2}\) और ω2 = \(\frac{{ - {\rm{\;}}1{\rm{\;}} - {\rm{\;\;i}}\sqrt 3 }}{2}\)
एकता के घन मूलों का गुण
- ω3 = 1
- 1 + ω + ω2 = 0
- ω = 1 / ω 2 और ω2 = 1 / ω
- ω3n = 1
गणना:
हमें ω3n + ω3n+1 + ω3n+2 का मूल्य खोजना होगा
⇒ ω3n + ω3n+1 + ω3n+2
= ω3n (1 + ω + ω2) (∵ 1 + ω + ω2 = 0)
= 1 × 0 = 0
Last updated on May 31, 2025
-> The Indian Navy SSR Agniveeer Merit List will be released soon on the official website.
-> The Indian Navy Agniveer SSR CBT Exam was conducted from 25th to 26th May 2025.
->The application window was open from 29th March 2025 to 16th April 2025.
-> The Indian Navy SSR Agniveer Application Link is active on the official website of the Indian Navy.
.->Only unmarried males and females can apply for Indian Navy SSR Recruitment 2025.
-> The selection process includes a Computer Based Test, Written Exam, Physical Fitness Test (PFT), and Medical Examination.
->Candidates Qualified in 10+2 with Mathematics & Physics from a recognized Board with a minimum 50% marks in aggregate can apply for the vacancy.
-> With a salary of Rs. 30,000, it is a golden opportunity for defence job seekers.
-> Candidates must go through the Indian Navy SSR Agniveer Previous Year Papers and Agniveer Navy SSR mock tests to practice a variety of questions for the exam.