a^(x)=b^(y)=c^(2)o+sqrt(k)abc=1" रुका,"(h sqrt(k),c),xy+yz+zx=0

If a^(x)=b^(y)=c^(z) and abc=1 then find the value of xy+yz+zx

If a^(x) =b^(y) =c^(z) and abc =1 then xy+yz+zx is equal to which of the following?

If a^x=b^y=c^z" and "abc=1 , then prove that xy+yz+zx=0 .

If a^(x-1)=bc,b^(y-1)=ca,c^(z-1)=ab, and (xy+yz+zx)/(xyz)=k, then find K

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 sum_(k = 1)^(oo) (1)/((k + 2)sqrt(k) + ksqrt(k + 2)) = (sqrt(a) + sqrt(b))/(sqrt(c)) , where a, b, c in N and a,b,c in [1, 15] , then a + b + c is equal to

If sum_(k = 1)^(oo) (1)/((k + 2)sqrt(k) + ksqrt(k + 2)) = (sqrt(a) + sqrt(b))/(sqrt(c)) , where a, b, c in N and a,b,c in [1, 15] , then a + b + c is equal to