Home
Class 10
MATHS
If x/(xa+yb+zc) = y/(ya+zb+xc) = z/(za+...

If ` x/(xa+yb+zc) = y/(ya+zb+xc) = z/(za+xb+yc)" and " x + y + z ne 0`, then show that each ratio ` = 1/(a + b+c)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If x/(x+2y+z) = y/(y+2z+x) = z/(z+2x +y) and x+y+z !=0 , then show that each ratio is equal to 1/4 .

If x/(3x-y-z) =y/(3y-z-x) =z/(3z-x-y) and x+y+z != 0 , then show that the value of each raio is equal to 1.

If (x)/(y+z-x)=(y)/(z+x-y)=(z)/(x+y-z) and x+y+z=0 then show that each ratio is equal to .

If (ax+by)/(x+y)=(bx+az)/(x+z)=(ay+bz)/(y+z) and x+y+z=!0 then show that each ratio is (a+b)/2

If x/(3x-y-z)=(y)/(3y-z-x)=(z)/(3z-x-y) and x+y+z=0 then show that the value of each of the ratio is equal to 1.

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 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 .