(iv)(a^((1)/(x-y))^((1)/(x-z)))times(a^((1)/(y-z))^((1)/(y-x))times(a^((1)/(z-x)))^((1)/(z-y)))=1

(1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^(2)

((a^(x^(2)))/a^(y^(2)))^((1)/(x+y))xx((a^(y^(2)))/a^(z^(2)))^((1)/(y+z))xx((a^(Z^(2)))/a^(x^(2)))^((1)/(z+x))= _______

(x^(-1)-y^(-1))/(z)+(y^(-1)-z^(-1))/(x)+(z^(-1)-x^(-1))/(y)= _______

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))

D=|[(1)/(z),(1)/(z),-(x+y)/(z^(2))-(y+z)/(x^(2)),(1)/(x),(1)/(x)-(y(y+z)/(x^(2)z)),(x+2y+z)/(x)z,-(y(x+y)/(xz^(2))] then,the incorrect statement is -

Suppose x;y;z>0 and are not equal to 1 and log x+log y+log z=0. Find the value of x(1)/(log y)+(1)/(log z)xx y^((1)/(log z)+(1)/(log x))xx(1)/(log x)+(1)/(log y) (base 10)