Search for: If xn=a0+a1(1+x)+a2(1+x)2+………..+an(1+x)n=b0+b1(1−x)+b2(1−x)2+…+bn(1−x)n then for n=201,a101,b101 is equal to: If xn=a0+a1(1+x)+a2(1+x)2+………..+an(1+x)n=b0+b1(1−x)+b2(1−x)2+…+bn(1−x)n then for n=201,a101,b101 is equal to: A−201C101,−201C101B 201C101,−201C101C−201C101,201C101D 201C101,201C101 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:xn=[(1+x)−1]n=[1−(1−x)]n=∑k=0n nCk(1+x)n−k(−1)k=∑k=0n nCk(−1)k(1−x)k ∴ ak= coefficient of (1+x)k in∑k=0n nCk(1+x)n−k(−1)k=(−1)n−knCn−k=(−1)n−knCkand bk=nCk(−1)kFor n=201,k=101, we get a101,b101= 201C101,−201C101 Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had