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State true or false.

If x, y and $z$ are positive real numbers, then $x − 1 y y − 1 z z − 1 x = 1$ .

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Detailed Solution

It is given,

x − 1 y y − 1 z z − 1 x = 1

.
Here we solve the left hand side,

⇒ x − 1 y × y − 1 z × z − 1 x

⇒ y x × z y × x z

⇒ x y z x y z

⇒ 1

So, the given statement is true.
Hence, the correct option is 1.

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