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

a/(y-z) = b/(z-x) = c/(x-y) then ax + by + cz =___

If a^x=b^y=c^z and b^2=a c , then show that y=(2z x)/(z+x)

If (x+y)/(3a-b) = (y+z)/(3b-c) = (z+x)/(3c-a) , then show that (x+y+z)/(a+b+c)= (ax + by+cz)/(a^(2)+b^(2)+c^(2))

If (b+c-a)x = (c+a-b)y = (a+b-c) z =2,then show that (i/x+1/y) (1/y+1/z) (1/z+1/x) =abc.

If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) (x/a + y/b + z/c) ge 9

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

Show that |a b c a+2x b+2y c+2z x y z|=0