If `a=b^x ,\ b=c^y and \ c=a^z ,` then the value of `x y z` is equal to a. `0` b. `1` c. `-1` d. `a b c`

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

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 a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

If a^(x)=b^(y)=c^(z)andabc=1 , then the value of 1/(x)+1/(y)+1/(z) will be equal to

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

If a^x = b^y = c^z and b/a = c/b then (2z)/(x + z) is equal to:

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2