Search for: If system of equations2x+2ay+az=02x+3by+bz=02x+4cy+cz=0 has a non-trival solution, then If system of equations2x+2ay+az=02x+3by+bz=02x+4cy+cz=0 has a non-trival solution, then Aa+b+c=0Ba,b,c are in A.P. C1a,1b,1c are in A.P.Da,b,c are in G.P. 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:If the given system of equations have a non-trivial solution, then 22aa23bb24cc=0⇒212aa13bb14cc=0 Applying R2→R2−R1,R3→R3−R1=212aa03b−2ab−a04c−2ac−a=0=23b−2ab−a4c−2ac−a=0=(3b−2a)(c−a)−(4c−2a)(b−a)=0=3bc−3ab−2ac+2a2−4bc−4ca−2ab+2a2=0=−bc−ab+2ca=0=1a+1c=2b⇒1a,1b,1c are in A.P. Related content Oppositional Defiant Disorders Good Friday Wishes CBSE Class 9 Physics Motion Worksheet Autism Spectrum Disorder Sine and Cosine Waves Hindu Festivals List 2024 JEE Main Eligibility Criteria 2024 Session 2 (Released), Age Limits, Qualifying Marks, and Important Factor MCQs on Plant Hormones Class 10 5 Reasons To Choose The Commerce Stream After 10th Fl Words