If `f(x)=((x-a)(x-b))/x and (f(z)/((z-x)(z-y))+(f(y)/((y-z)(y-x))+(f(z)/((z-x)(z-y))=k/(xyz)` then k =

If quad f(x)=((x-a)(x-b))/(x) and ((f(z))/((z-x)(z-y))+((f(y))/((y-z)(y-x))+((f(z))/((z-x)(z-y))=(k)/(xyz)) then k=

If f(x) =((x-a)(x-b))/x and (f(x))/((x-y)(x-z))+ (f(y))/((x-z)(y-z)) + (f(z))/((z-x)(z-y)) = K/(xyz) , then K=

If |(x,y,z),(-x,y,z),(x,-y,z)|=k xyz , then k=

Simplify ((x-y)/(z)+(y-z)/(x)+(z-x)/(y))((z)/(x-y)+(x)/(y-z)+(y)/(z-x)) if x+y+z=0

If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x) , then :

If f(x)=log_(e)x, then prove that :f(xyz)=f(x)+f(y)+f(z)

If f(x)=log_(e)x, then prove that :f(xyz)=f(x)+f(y)+f(z)