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If (a+b)/x=(b+c)/y=(c+a)/z ,then (A) (a+...

If `(a+b)/x=(b+c)/y=(c+a)/z` ,then (A) `(a+b+c)/(x+y+z)=(ab+bc+ca)/(ay+bz+cx)` (B) `c/(y+z-x)=a/(x+z-y)=b/(x+y-z)` (C) `c/x=a/y=b/z` (D) `(a+b)/(b+c)=(a+b+x)/(b+c+y)`

A

`(a+b+c)/(x+y+z)=(ab+bc+ca)/(ay+bz+cx)`

B

`(c)/(y+z+x)=(a)/(x+z-y)=(b)/(x+y-z)`

C

`c/x=a/y=b/z`

D

`(a+b)/(b+c)=(a+b+x)/(b+c+y)`

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