If `(b+c-a)x=(c+a-b)y=(a+b-c)z=a+b+c`, then `1/x+1/y+1/z=?`

If x=(b-c)(a-d),y=(c-a)(b-d),z=(a-b)(c-d) , then the what is x^(3)+y^(3)+z^(3) equal to?

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-a)=(y)/(c+a-b)=(z)/(a+b-c) show that (b-c)x+(c-a)y+(a-b)z=0

If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

If (a+b)/(x)=(b+c)/(y)=(c+a)/(z), then (A) (a+b+c)/(x+y+z)=(ab+bc+ca)/(ay+bz+cx)(B)(c)/(y+z-x)=(a)/(x+z-y)=(b)/(x+y-z)(C)(c)/(x)=(a)/(y)=(b)/(z)(D)(a+b)/(b+c)=(a+b+x)/(b+c+y)

If a^x = b^y = c^z and b/a = c/b then (2z)/(x + z) is equal to: