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If x^y=y^z=z^x and xz=y^2 then which of ...

If `x^y=y^z=z^x` and `xz=y^2` then which of the following is correct?

A

`z=(2xy)/(x+y)`

B

`y=(x-z)/(x+z)`

C

`x=(y-z)/(yz)`

D

`xyz=(x-z+y)/(x+z-y)`

Text Solution

Verified by Experts

The correct Answer is:
A
(i) Consider, `x^(y)=y^(z)=z^(x)=k`.
(ii) Find the `HCF` of the exponents.
(iii) Express the numbers with same exponents by using `HCF`.
(iv) Compare the numbers.
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