Search for: If a>0 and coefficient of x2, x3, x4 in the expansion of 1+xa6 are in A.P., then a equals If a>0 and coefficient of x2, x3, x4 in the expansion of 1+xa6 are in A.P., then a equals A(4+7)3B(4+3)3C2−3D2+3 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:Coefficient of xr in the expansion of (1+x/a)6=6Cr(1/a)r According to given condition 6C2(1/a)2,6C3(1/a)3,6C4(1/a)4are in A.P.∴ 2 6C31a3=6C21a2+6C41a4⇒ 2(20)a=15a2+1⇒ 3a2−8a+3=0⇒ a=(4+7)3 as a>0. Related content Haryana NEET UG Merit List 2023 Top 20 GK Questions On Planets For Kids Himachal Pradesh NEET UG Merit List 2023 Rhyming Words in English Language for Students and Kids Are NCERT Books Enough for JEE Main Preparation? Gujarat NEET UG Merit List 2023 Difference Between JEE Main and JEE Advanced Arunachal Pradesh NEET UG Merit List 2023 Essay On Teamwork For Students in English Essay On Water Scarcity For Students And Children