If (x+y) prop z when y is constant and (...

If (x+y) `prop z` when y is constant and (z+x) `prop ` y when z is constant . Then prove that `(x+y+z) prop yz ` , when when y and z are both constant.

Similar Questions

Explore conceptually related problems

If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, then show that (x+y+z) alpha yz when y and z both are constant.

If x prop y and y prop z , then prove that : (x^2+y^2+z^2) prop (xy+yz+zx) .

If x prop yz and y prop zx , show that z is a non zero constant.

If (x+y) prop (x-y) , then prove that (ax +by) prop (px+qy) where a ,b ,p, q are non -zero variation constant.

If y prop 1/x , then y/x = non -zero constant ,

If x prop y, y prop z and z prop x , find the product of three variation constant.

If x prop yz and y prop zx, then prove that z is a non- zero variation constant.

If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^2 +x^3z^4 +y^5z^2)