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Grade: 12th pass
        If x/y+z=y/z+x=z/x+y=k then show that k=1/2 if x, y, z are not equal to 0
2 years ago

Answers : (1)

Shashank Singh
askIITians Faculty
57 Points
							1+ x/(y+z)= k+1
1+y/(x+z)= k+1
1+ z/(x+y)= k+1
(y+z)/(x+y+z)=1/(k+1)
(x+z)/(x+y+z)=1/(k+1)
(x+y)/(x+y+z)= 1/(k+1)
on adding above three equations
2(x+y+z)/(x+y+z)=3/(k+1)
k+1=3/2
k=1/2 [ans]
2 years ago
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