If x+\frac{1}{y}=1 and y+\frac{1}{z}=1 then the value of z+- is

BPSC 64th Prelims Exam 16 Dec 2018 Solved Paper

Question : 127 of 150

Marks: +1, -0

x+\;{1}/{y}=1

and

y+\;{1}/{z}=1

then the value of

z+-

Solution:

∵ x+\;{1}/{y}=1 ⇒ x=\;{y-1}/{y}

⇒ \;{1}/{x}=\;{y}/{y-1}

\;\text " Similarly "\; z=\;{1}/{1-y}

∴ z+\;{1}/{x}=\;{1}/{1-y}+\;{y}/{y-1}

=\;{-1+y}/{(y-1)}=\;{y-1}/{y-1}=1

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