If ` x/(b + c -a) = y/(c + a - b) = z/(a + b -c)`, then show that ` (b -c) x + (c-a) y + (a -b) z = 0` .

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/(b +c) = y/(c+a) = z/(a + b) , then show that a/(y+z-x) = b/(z+x - y) = c/(x + y - z) .

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 x=b-c+a, y=c-a+b, z=a-b+c , then prove that (b-a) x + (c-b)y +(a-c)z=0

If (y+z-x)/(b+c-a) = (z+x-y)/(c+a-b) = (x+y -z)/(a + b - c)", then prove that "x/a = y/b = z/c .

If (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then prove that x^(b+c).y^(c+a).z^(a+b) = 1