Search for: If A and B are coefficients of xn in the expansions of (1+x)2n and (1+x)2n−1respectively, then If A and B are coefficients of xn in the expansions of (1+x)2n and (1+x)2n−1respectively, then AA=BBA=2BC2A=BDnone of these 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:We know that coefficient of xr in the expansion of (1+x)m is mCr.Thus, A=2nCn and B=2n−1Cn We have AB= 2nCn 2n−1Cn=(2n)!n!n!(n!)(n−1)!(2n−1)!=2nn=2⇒ A=2B Related content How to use NEET UG College Predictor 2024 to find your dream Medical College Is a Gap Certificate for NEET Repeaters Necessary? General Knowledge Questions With Answers on Islamic CBSE Class 10 Worksheets NEET Rank Predictor 2024: Calculate Your Rank by Marks Why to Choose Infinity Learn NEET Rank Predictor 2024 – The Most Accurate NEET Rank Predictor CBSE Class 10 Science MCQs CBSE Class 9 Science Structure of Atom MCQs Class 7 MCQs for All Subjects with Answers Raidas ke Pad Class 9