If `x=(a-b)/(a+b), y=(b-c)/(b+c)` and `z=(c-a)/(c+a)`, find the value of `((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))`

If x = (a-b)/(a+b) , y = (b-c)/(b+c), z = (c-a)/(c+a) , " then " ((1-x)(1-y)(1-z))/((1+x)(1+y)(1+z)) is equal to

If x=(a+b)/(a-b),y=(b+c)/(b-c),z=(c+a)/(c-a) then the value of ((2x+2)(4y+4)(z+1))/((x-1)(y-1)(z-1)) is equal to

If x =a/(b-c), y=b/(c-a), z = c/(a-b) , then what is the value of the following ? |{:(1,-x,x),(1,1,-y),(1,z,1):}|. |{:(1,1,-1),(1,1,-1),(1,3,1):}|

If a^(x)=b, b^(y)=c, c^(z)=a , then what is the value of (1)/((xy+yz+zx))((1)/(x)+(1)/(y)+(1)/(z)) ?

If a=b^(x),b=c^(y) and c=a^(z) , then the value of xyz is equal to (a)-1 (b)0 (c)1 (d)abc

If (b)/(y) + (z)/(c) = 1 and (c)/(z) + (x)/(a) = 1 , then what is (ab + xy)/(b x) equal to ?