Question

A+b/c=b+c/a=c+a/b=k, then the value of k is?

Answer 1

Answer:

a+bc=b+ca=c+ab=k(a+b)=ck(b+c)=ak(a+c)=bkNow if we add all the three equations we'll have2a+2b+2c=ak+bk+ck2(a+b+c)=k(a+b+c)k=2■This result is also when a=b=cNow considering a case whena≠b≠cthen if their sum be 0a+b+c=0(a+b)=−cPutting this value in equation we'll have−cc=kk=−1■{k=−1(a≠b≠c)k=2(a=b=c)(01)(02)(03)