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Home / Doubts and Solutions/JEE/Mathematics

ques 28

Asked by chandanbr6004 19th November 2017, 5:32 PM
Answered by Expert
Answer:
begin mathsize 16px style sum from straight i equals 1 to straight n of straight a subscript straight i straight b subscript straight i plus sum from straight i equals 1 to straight n of open parentheses straight a subscript straight i minus straight a close parentheses squared equals sum from straight i equals 1 to straight n of straight a subscript straight i open parentheses 1 minus straight a subscript straight i close parentheses plus sum from straight i equals 1 to straight n of open parentheses straight a subscript straight i minus straight a close parentheses squared..... open curly brackets straight b subscript straight i equals 1 minus straight a subscript straight i close curly brackets equals sum from straight i equals 1 to straight n of straight a subscript straight i minus sum from straight i equals 1 to straight n of straight a squared subscript straight i plus sum from straight i equals 1 to straight n of straight a squared subscript straight i minus 2 straight a sum from straight i equals 1 to straight n of straight a subscript straight i plus straight a squared sum from straight i equals 1 to straight n of 1 equals sum from straight i equals 1 to straight n of straight a subscript straight i minus 2 straight a sum from straight i equals 1 to straight n of straight a subscript straight i plus straight a squared sum from straight i equals 1 to straight n of 1 equals na minus 2 straight a cross times na plus straight a squared straight n equals na open parentheses 1 minus straight a close parentheses..... left parenthesis 1 right parenthesis now nb equals sum from straight i equals 1 to straight n of straight b subscript straight i nb equals sum from straight i equals 1 to straight n of open parentheses 1 minus straight a subscript straight i close parentheses nb equals straight n minus na straight b equals 1 minus straight a....... sub space in space left parenthesis 1 right parenthesis ans space equals space nab end style
Answered by Expert 5th December 2017, 4:16 PM
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