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CBSE Class 10 Answered

If a=b-c, b=c-d, c=d-a and abcd is not equal to zero then what is the value of a/b +b/c + c/d + d/a ?
Asked by vikasg13.hardware | 17 Jun, 2018, 11:18: AM
answered-by-expert Expert Answer
begin mathsize 16px style We space have comma straight a space equals space straight b space minus space straight c space... left parenthesis 1 right parenthesis straight b space equals space straight c space minus space straight d space... left parenthesis 2 right parenthesis straight c space equals space straight d space minus space straight a space... left parenthesis 3 right parenthesis Adding space left parenthesis 1 right parenthesis comma left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma space we space get straight c space equals space minus 2 straight a Putting space straight c space equals negative 2 straight a comma space in space left parenthesis 1 right parenthesis space comma space we space get straight a space equals space straight b space minus space left parenthesis space minus 2 straight a right parenthesis space rightwards double arrow straight b space equals space minus straight a space Putting space straight b equals negative straight a comma space in space left parenthesis 3 right parenthesis space comma space we space get straight c space equals space straight d space minus space straight a rightwards double arrow negative 2 straight a space equals space straight d space minus space straight a rightwards double arrow straight d space equals negative straight a Substituting space the space values space of space straight b comma space straight c space and space straight d space in space straight a over straight b space plus space straight b over straight c space plus space straight c over straight d space plus space straight d over straight a comma space we space get straight a over straight b space plus space straight b over straight c space plus space straight c over straight d space plus space straight d over straight a equals space fraction numerator straight a over denominator negative straight a end fraction space plus space fraction numerator negative straight a over denominator negative 2 straight a end fraction space plus space fraction numerator negative 2 straight a over denominator negative straight a end fraction space plus space fraction numerator negative straight a over denominator straight a end fraction equals space minus 1 space plus space 1 half plus space 2 space minus 1 space equals space 1 half space end style
Answered by Yasmeen Khan | 18 Jun, 2018, 11:46: AM

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