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

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 a^(x)=b,b^(y)=c,c^(z)=a, then find the value of xyz.

If a^(x)=b,b^(y)=c and c^(z)=a then find the value of xyz

If (x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)/((a-b)(a+b-2c)) then the value of (x+y+z) is :

If (log a)/(y-z)=(log b)/(z-x)=(log c)/(x-y) the value of a^(y+z)*b^(z+x)*c^(x+y) is

If (x)/(b + c - a) = (y)/(c + a - b) = (z)/(a + b - c) , then value of x(b -c) + y(c -a) + z(a - b) 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= b+c, y=c+a, z=a+b , then find the value of (x^2 + y^2 + z^2 -yz - zx-xy)/( a^(2) + b^(2) + c^(2) - bc - ca - ab)