If-x-2-yz-a-2-bc-y-2-zx-b-2-ca-z-2-xy-c-2-ab-then-prove-that-x-a-y-b-z-c-

Question Number 212576 by MATHEMATICSAM last updated on 17/Oct/24

If \frac{x^{2} - y z}{a^{2} - b c} = \frac{y^{2} - z x}{b^{2} - c a} = \frac{z^{2} - x y}{c^{2} - a b} then

prove that \frac{x}{a} = \frac{y}{b} = \frac{z}{c} .