" 42.If "11^(x)=3^(y)=99^(z)," then "(1)/(x)+(1)/(y)+(1)/(z)=

(2-3x)/(x)+(2-3y)/(y)+(2-3z)/(z)=0 then (1)/(x)+(1)/(y)+(1)/(z)=

If (111.1)^x=(11.11)^y=(1.111)^z then prove that (1)/(x)-(2)/(y)+(1)/(z)=0 .

|{:(1+x,1,1),(1+y,1+2y,1),(1+z,1+z,1+3z):}|=10Kxyz(3+(1)/(x)+(1)/(y)+(1)/(z)) then k=________

Find x,y,z using Cramer's Rule,if 2/(x+y)-4/(y-1)+1/(z+1)=-7,4/(x+y)+1/(y-1)-3/(z+1)=-11 ,3/(x+y)+1/(y-1)+1/(z+1)=2

If x+y+z=xyz , prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= (3x-x^(3))/(1-3x^(2)).(3y-y^(3))/(1-3y^(2)).(3z-z^(3))/(1-3z^(2)) b) (x+y)/(1-xy) + (y+z)/(1-yz)+(z+x)/(1-zx)= (x+y)/(1-xy) .(y+z)/(1-yz).(z+x)/(1-zx)

If (11- 13x)/(x) + (11- 13 y)/(y) + (11- 13 z)/(z) =5, then what is the value of 1/x + 1/y + 1/z ?

The value of {(x-y)^3+(y-z)^3+(z-x)^3}/{9(x-y)(y-z)(z-x)} (1) 0 (2) 1/9 (3) 1/3 (4) 1