Search for: Let a, b, c ∈R be such that a+b+c>0 and abc=2. Let A=a b cb c ac a b If A2=I, then value of a3+b3+c3 is Let a, b, c ∈R be such that a+b+c>0 and abc=2. Let A=a b cb c ac a b If A2=I, then value of a3+b3+c3 is A7B2C0D-1 Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:A2=a b cb c ac a ba b cb c ac a b=αβββαβββαwhere α=a2+b2+c2, β=bc+ca+ab.As A2=I, we geta2+b2+c2=α=1bc+ca+ab=0Now, (a+b+c)2=α+2β=1⇒ a+b+c=1We have a3+b3+c3−3abc=(a+b+c)a2+b2+c2−bc−ca−ab=1⇒a3+b3+c3=7 Related content Top 5 Reasons To Study Science After 10th Application for Teaching Job Railway Jobs After 10th CBSE Class 12 Computer Science Answer Key and Paper Analysis 2024 – Student Feedback and Expert View Fractions Class 6 Worksheet Genetics and Evolution | Mind Map Kerala NEET UG Merit List 2023 NEET Exam Centres in Hyderabad 2024 Ecology & Environments NEET Exam Centres in Maharashtra 2024